Consider the following example:
Generate two number patterns starting from zero using the given rules. Then compare and find the relationship between the two patterns.
(i) Add \(4\)
(ii) Add \(6\)
(i) There are two patterns as follows:
Pattern \((1)\) - Addition of \(4\)
Pattern \((2)\) - Addition of \(6\)
(ii) Starting from Zero,
\(0, \;4, \;8, \;12, \;16, \;20,...\) [Pattern \((1)\) series]
\(0, \;6, \;12, \;18, \;24, \;30,...\)[Pattern \((2)\) series]
(iii) Write both number patterns in ordered pairs with corresponding terms.
\((0, 0), \;(4, 6), \;(8, 12), \;(12, 18), \;(16, 24), \;(20, 30),.....\)
(iv) Try to find the relation between corresponding terms. Compare each pair, there are differences of \(0,\;2,\;4,\;6,\;8,\;10,....\)
This relation can be written as \(2n\).
where n = Whole number
A \(2\)
B \(4\)
C \(10\)
D \(14\)
\(2\)
.\(4\)
\(10\)
\(14\)
Option D is Correct
Independent | Dependent |
Input | Output |
(i) the value of the input.
(ii) the rule.
Consider an example: Make a table from the given equation: \(2x+1=y\)
\(2x+1=y\)
Put \(x=1\), then \(2(1)+1=y\)
\(\Rightarrow\;2+1=y\)
\(\Rightarrow\;3=y\)
Put \(x=2\), then \(2(2)+1=y\)
\(\Rightarrow4+1=y\)
\(\Rightarrow\;5=y\)
Put \(x=3\), then \(2(3)+1=y\)
\(\Rightarrow\;6+1=y\)
\(\Rightarrow\;7=y\)
Put \(x=4\), then \(2(4)+1=y\)
\(\Rightarrow\;8+1=y\)
\(\Rightarrow\;9=y\)
\((1,\;3),\;(2,\;5),\;(3,\;7),\;(4,\;9)\)
Input \((x)\) | Output \((y)\) |
---|---|
\(1\) | \(3\) |
\(2\) | \(5\) |
\(3\) | \(7\) |
\(4\) | \(9\) |
A \(x\) \(y\) 1 3 2 4 3 5
B \(x\) \(y\) 1 7 2 8 3 9
C \(x\) \(y\) 1 7 2 10 3 13
D \(x\) \(y\) 1 1 2 2 3 3
The given equation is
\(3x+4=y\)
(i) Give inputs in the equation and get outputs.
Put \(x=1\), then \(3(1)+4=y\)
\(\Rightarrow\;3+4=y\)
\(\Rightarrow\;7=y\)
Put \(x=2\), then \(3(2)+4=y\)
\(\Rightarrow\;6+4=y\)
\(\Rightarrow\;10=y\)
Put \(x=3\), then \(3(3)+4=y\)
\(\Rightarrow\;9+4=y\)
\(\Rightarrow\;13=y\)
(ii) Write inputs and outputs in ordered pairs in the form: (input, output).
\((1,\;7)\)
\((2,\;10)\)
\((3,\;13)\)
Now, make a table from the ordered pairs.
\(x\) | \(y\) |
---|---|
1 | 7 |
2 | 10 |
3 | 13 |
Hence, option (C) is correct.
\(x\) | \(y\) |
---|---|
1 | 3 |
2 | 4 |
3 | 5 |
\(x\) | \(y\) |
---|---|
1 | 7 |
2 | 8 |
3 | 9 |
\(x\) | \(y\) |
---|---|
1 | 7 |
2 | 10 |
3 | 13 |
\(x\) | \(y\) |
---|---|
1 | 1 |
2 | 2 |
3 | 3 |
Option C is Correct
Independent | Dependent |
Input | Output |
(i) the value of the input.
(ii) the rule.
Consider an example: Make a table from the given equation: \(2x+1=y\)
\(2x+1=y\)
Put \(x=1\), then \(2(1)+1=y\)
\(\Rightarrow\;2+1=y\)
\(\Rightarrow\;3=y\)
Put \(x=2\), then \(2(2)+1=y\)
\(\Rightarrow4+1=y\)
\(\Rightarrow\;5=y\)
Put \(x=3\), then \(2(3)+1=y\)
\(\Rightarrow\;6+1=y\)
\(\Rightarrow\;7=y\)
Put \(x=4\), then \(2(4)+1=y\)
\(\Rightarrow\;8+1=y\)
\(\Rightarrow\;9=y\)
\((1,\;3),\;(2,\;5),\;(3,\;7),\;(4,\;9)\)
Input\((x)\) | Output \((y)\) |
---|---|
\(1\) | \(3\) |
\(2\) | \(5\) |
\(3\) | \(7\) |
\(4\) | \(9\) |
A \(\begin{array} {|c|c|} \hline x&y\\ \hline 0&10\\ \hline 1&\color{red}6\\ \hline 2&4\\ \hline 3&\color{red}1\\ \hline \end{array}\)
B \(\begin{array} {|c|c|}\hline x&y\\ \hline 0&10\\ \hline 1&\color{red}3\\ \hline 2&4\\ \hline 3&\color{red}5\\ \hline \end{array}\)
C \(\begin{array} {|c|c|}\hline x&y\\ \hline 0&10\\ \hline 1&\color{red}6\\ \hline 2&4\\ \hline 3&\color{red}2\\ \hline \end{array}\)
D \(\begin{array} {|c|c|} \hline x&y\\ \hline 0&10\\ \hline 1&\color{red}7\\ \hline 2&4\\ \hline 3&\color {red}1\\ \hline \end{array}\)
\(\begin{array} {|c|c|} \hline x&y\\ \hline 0&10\\ \hline 1&\color{red}6\\ \hline 2&4\\ \hline 3&\color{red}1\\ \hline \end{array}\)
.
\(\begin{array} {|c|c|}\hline x&y\\ \hline 0&10\\ \hline 1&\color{red}3\\ \hline 2&4\\ \hline 3&\color{red}5\\ \hline \end{array}\)
\(\begin{array} {|c|c|}\hline x&y\\ \hline 0&10\\ \hline 1&\color{red}6\\ \hline 2&4\\ \hline 3&\color{red}2\\ \hline \end{array}\)
\(\begin{array} {|c|c|} \hline x&y\\ \hline 0&10\\ \hline 1&\color{red}7\\ \hline 2&4\\ \hline 3&\color {red}1\\ \hline \end{array}\)
Option D is Correct
For example: Consider the graph shown.
Here, the solution of an equation forms a straight line so, it is a linear graph.
When the solution of an equation on a graph does not form a straight line, it is called a non-linear graph.
For example: Consider the graph shown.
Here, the solution of an equation forms a zig-zag line so, it is a non-linear graph.
Steps to identify linear or non-linear relationship:
(i) Plot the coordinates on the graph.
(ii) Connect the points through lines.
If the solution makes a straight line, it is a linear relationship and if it does not, it is a non-linear relationship.
Consider an example:
Taylor is going for horse riding.
The riding charge is \($7/hr\).
Equation is \(c=7h\)
To make a table from the equation, give inputs to get outputs.
If \(h=1\), then \(c=7×1\)
\(\Rightarrow\;c=7\)
If \(h=2\), then \(c=7×2\)
\(\Rightarrow\;c=14\)
If \(h=3\), then \(c=7×3\)
\(\Rightarrow\;c=21\)
If \(h=4\), then \(c=7×4\)
\(\Rightarrow\;28\)
Write in ordered pairs: \((1,7),\,(2,14),\,(3,21),\,(4,28) \)
Hours (h) | Cost (c) |
1 | 7 |
2 | 14 |
3 | 21 |
4 | 28 |
A Cody (\(C\)) Emma (\(E\)) 10 20 11 22 12 24 13 26
B Cody (\(C\)) Emma (\(E\)) 10 11 11 12 12 13 13 14
C Cody (\(C\)) Emma (\(E\)) 10 12 11 13 12 14 13 15
D Cody (\(C\)) Emma (\(E\)) 10 13 11 15 12 30 13 25
Cody (\(C\)) |
Emma (\(E\)) |
10 | 20 |
11 | 22 |
12 | 24 |
13 | 26 |
.
Cody (\(C\)) |
Emma (\(E\)) |
10 | 11 |
11 | 12 |
12 | 13 |
13 | 14 |
Cody (\(C\)) |
Emma (\(E\)) |
10 | 12 |
11 | 13 |
12 | 14 |
13 | 15 |
Cody (\(C\)) |
Emma (\(E\)) |
10 | 13 |
11 | 15 |
12 | 30 |
13 | 25 |
Option A is Correct
When graphing:
(i) The independent variable is always across the \(x-\)axis.
(ii) The dependent variable is always up the \(y-\)axis.
Steps for graphing equations:
(i) Write an equation to represent the situation.
(ii) Make an input-output table from the equation.
(iii) Once we have the equation, we can write coordinates in the form: (independent variable, dependent variable)
Coordinates: A pair of values that shows an exact position on a coordinate plane.
(iv) Plot the coordinates of the equation on the graph.
For example: A bakery shopkeeper makes cookies. The table shows the relationship between the time in hours \((x)\) and the number of cookies the shopkeeper makes \((y)\).
\(\begin{array} {|c|c|} \hline (x)&(y)\\ \text{(In hours)}&\text{(Number of cookies)}\\ \hline 1&20\\ \hline 2&40\\ \hline 3&60\\ \hline 4&80\\ \hline \end{array}\)
Hence, \(y\) (the number of cookies) is the dependent variable.
\(x\) (the time in hours) is the independent variable.
\(\begin{array} {|c|c|} \hline (x)&(y)&\text{Coordinates}\\ &&(x,\,y)\\ \hline 1&20&(1,\;20)\\ \hline 2&40&(2,\;40)\\ \hline 3&60&(3,\;60)\\ \hline 4&80&(4,\;80)\\ \hline \end{array}\)
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[maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 84 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined index: Question [APP/View/Elements/theorypage.ctp, line 88]Code Context</h4>
<?php
if(trim($bucketData[$i]['Bucket']['Question']['Question']['image'])!=''){
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depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship 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depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 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[maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 88 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined index: Question [APP/View/Elements/theorypage.ctp, line 96]Code Context</div>
<?php
if(trim($bucketData[$i]['Bucket']['Question']['Question']['image'])!=''){
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Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
A Notice (8): Undefined offset: 0 [APP/View/Elements/theorypage.ctp, line 111]
<div class="col-md-6">
<div class="col-sm-6">
<p><span id="ring-brd" class="col-xs-2">A</span> <span><?php echo strip_tags($bucketData[$i]['Bucket']['QuestionOption'][0]['QuestionOption']['description']); ?></span>
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$url = 'https://www.actucation.com/'
$i = (int) 5
$j = (int) 4
$str = '<ul>
<li>Plot the coordinates on the graph from the table.</li>
<li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li>
<li>If one value increases, the other value also increases.</li>
</ul>
'
$pos = false
$pos2 = false
$header = ''
$m = (int) 0
$correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 111
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::_renderElement() - CORE/Cake/View/View.php, line 1195
View::element() - CORE/Cake/View/View.php, line 412
include - APP/View/Students/subject.ctp, line 10
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::render() - CORE/Cake/View/View.php, line 466
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 0 [APP/View/Elements/theorypage.ctp, line 115]Code Context
<?php
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Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
B Notice (8): Undefined offset: 1 [APP/View/Elements/theorypage.ctp, line 128]
<div class="col-sm-6">
<p><span id="ring-brd" class="col-xs-2">B</span> <span><?php echo strip_tags($bucketData[$i]['Bucket']['QuestionOption'][1]['QuestionOption']['description']); ?></span>
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'is_deleted' => '0'
),
'Chapter' => array(
(int) 0 => array(
[maximum depth reached]
),
(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
),
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[maximum depth reached]
),
(int) 4 => array(
[maximum depth reached]
),
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[maximum depth reached]
)
)
),
(int) 5 => array(
'Subject' => array(
'id' => '10',
'name' => 'Grade 7 Maths Algebra',
'short_display_name' => 'G-7 Algebra',
'position' => '6',
'status' => '1',
'is_deleted' => '0'
),
'Chapter' => array(
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),
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),
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)
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)
)
$url = 'https://www.actucation.com/'
$i = (int) 5
$j = (int) 4
$str = '<ul>
<li>Plot the coordinates on the graph from the table.</li>
<li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li>
<li>If one value increases, the other value also increases.</li>
</ul>
'
$pos = false
$pos2 = false
$header = ''
$m = (int) 0
$correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 128
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::_renderElement() - CORE/Cake/View/View.php, line 1195
View::element() - CORE/Cake/View/View.php, line 412
include - APP/View/Students/subject.ctp, line 10
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::render() - CORE/Cake/View/View.php, line 466
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 1 [APP/View/Elements/theorypage.ctp, line 132]Code Context
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][1]['QuestionOption']['image'])!=''){
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'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship 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'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 132 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
C Notice (8): Undefined offset: 2 [APP/View/Elements/theorypage.ctp, line 145]
<div class="col-md-6">
<div class="col-sm-6">
<p><span id="ring-brd" class="col-xs-2">C</span> <span><?php echo strip_tags($bucketData[$i]['Bucket']['QuestionOption'][2]['QuestionOption']['description']); ?></span>
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$description = null
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$subject = 'Grade 6 Maths'
$subjectUrl = 'grade-6-maths'
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(int) 5 => array(
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$url = 'https://www.actucation.com/'
$i = (int) 5
$j = (int) 4
$str = '<ul>
<li>Plot the coordinates on the graph from the table.</li>
<li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li>
<li>If one value increases, the other value also increases.</li>
</ul>
'
$pos = false
$pos2 = false
$header = ''
$m = (int) 0
$correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 145
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::_renderElement() - CORE/Cake/View/View.php, line 1195
View::element() - CORE/Cake/View/View.php, line 412
include - APP/View/Students/subject.ctp, line 10
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::render() - CORE/Cake/View/View.php, line 466
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 2 [APP/View/Elements/theorypage.ctp, line 148]Code Context
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][2]['QuestionOption']['image'])!=''){
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[maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 148 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
D Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 161]
<div class="col-sm-6">
<p><span id="ring-brd" class="col-xs-2">D</span> <span><?php echo strip_tags($bucketData[$i]['Bucket']['QuestionOption'][3]['QuestionOption']['description']); ?></span>
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(int) 6 => array(
'Bucket' => array(
'id' => '2066',
'topic_id' => '467',
'level_id' => '5',
'goal_id' => '2',
'name' => 'Bucket25467',
'question_id' => '10026',
'standard_time' => '120',
'is_theory' => '1',
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'duplicate' => '0',
'is_deleted' => '0',
'old_bucket_id' => '0',
'bucketname' => (int) 8,
'bucket' => 'Bucket 8',
'Question' => array(
[maximum depth reached]
),
'QuestionOption' => array(
[maximum depth reached]
),
'Solution' => array([maximum depth reached])
),
'Level' => array(
'id' => '5',
'module_id' => '3',
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'pre_request' => '',
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'Goal' => array(
'id' => '2',
'name' => 'Goal 2',
'position' => '2',
'status' => '1',
'created' => '0',
'updated' => '0'
),
'Theory' => array(
(int) 0 => array(
[maximum depth reached]
),
(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
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)
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$description = null
$SubtopicName = 'relationship between variables '
$subject = 'Grade 6 Maths'
$subjectUrl = 'grade-6-maths'
$subjectdataHeader = array(
(int) 0 => array(
'Subject' => array(
'id' => '6',
'name' => 'Calculus 1',
'short_display_name' => 'Differentiation',
'position' => '1',
'status' => '1',
'is_deleted' => '0'
),
'Chapter' => array(
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[maximum depth reached]
),
(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
),
(int) 3 => array(
[maximum depth reached]
),
(int) 4 => array(
[maximum depth reached]
)
)
),
(int) 1 => array(
'Subject' => array(
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'name' => 'Calculus 2',
'short_display_name' => 'Integration',
'position' => '2',
'status' => '1',
'is_deleted' => '0'
),
'Chapter' => array(
(int) 0 => array(
[maximum depth reached]
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(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
),
(int) 3 => array(
[maximum depth reached]
),
(int) 4 => array(
[maximum depth reached]
)
)
),
(int) 2 => array(
'Subject' => array(
'id' => '3',
'name' => 'College Physics 1',
'short_display_name' => 'Mechanics',
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),
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(int) 0 => array(
[maximum depth reached]
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(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
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(int) 3 => array(
[maximum depth reached]
),
(int) 4 => array(
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)
)
),
(int) 3 => array(
'Subject' => array(
'id' => '5',
'name' => 'College Physics 2',
'short_display_name' => 'Electrodynamics',
'position' => '4',
'status' => '1',
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),
'Chapter' => array(
(int) 0 => array(
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(int) 2 => array(
[maximum depth reached]
),
(int) 3 => array(
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)
),
(int) 4 => array(
'Subject' => array(
'id' => '9',
'name' => 'Grade 6 Maths',
'short_display_name' => 'maths 1',
'position' => '5',
'status' => '1',
'is_deleted' => '0'
),
'Chapter' => array(
(int) 0 => array(
[maximum depth reached]
),
(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
),
(int) 3 => array(
[maximum depth reached]
),
(int) 4 => array(
[maximum depth reached]
),
(int) 5 => array(
[maximum depth reached]
)
)
),
(int) 5 => array(
'Subject' => array(
'id' => '10',
'name' => 'Grade 7 Maths Algebra',
'short_display_name' => 'G-7 Algebra',
'position' => '6',
'status' => '1',
'is_deleted' => '0'
),
'Chapter' => array(
(int) 0 => array(
[maximum depth reached]
),
(int) 1 => array(
[maximum depth reached]
),
(int) 2 => array(
[maximum depth reached]
)
)
)
)
$url = 'https://www.actucation.com/'
$i = (int) 5
$j = (int) 4
$str = '<ul>
<li>Plot the coordinates on the graph from the table.</li>
<li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li>
<li>If one value increases, the other value also increases.</li>
</ul>
'
$pos = false
$pos2 = false
$header = ''
$m = (int) 0
$correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 161
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::_renderElement() - CORE/Cake/View/View.php, line 1195
View::element() - CORE/Cake/View/View.php, line 412
include - APP/View/Students/subject.ctp, line 10
View::_evaluate() - CORE/Cake/View/View.php, line 935
View::_render() - CORE/Cake/View/View.php, line 897
View::render() - CORE/Cake/View/View.php, line 466
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 165]Code Context
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][3]['QuestionOption']['image'])!=''){
$viewFile = '/home/bo6uxs8yrzio/public_html/app/View/Elements/theorypage.ctp' $dataForView = array( 'pageType' => (int) 2, 'bucketData' => array( (int) 0 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 1 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 2 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 3 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 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=> array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 3, 'bucket' => 'Bucket 3', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Bucket' => array( 'id' => '2065', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '2', 'name' => 'Bucket24467', 'question_id' => '10025', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 165 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined index: Question [APP/View/Elements/theorypage.ctp, line 222]Code Context<div class="col-xs-12 options-in-sol">
<div class="col-md-8 solSteps">
<h3><span class="fa fa-question-circle-o"></span> <?php echo strip_tags($bucketData[$i]['Bucket']['Question']['Question']['question']); ?></h3>
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depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship 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depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 222 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined index: Question [APP/View/Elements/theorypage.ctp, line 224]Code Context<h3><span class="fa fa-question-circle-o"></span> <?php echo strip_tags($bucketData[$i]['Bucket']['Question']['Question']['question']); ?></h3>
<?php
if(trim($bucketData[$i]['Bucket']['Question']['Question']['image'])!=''){
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=> array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 3, 'bucket' => 'Bucket 3', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Bucket' => array( 'id' => '2065', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '2', 'name' => 'Bucket24467', 'question_id' => '10025', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 224 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
</div>
<div class="col-md-8">
<div class="col-md-5 col-xs-12 options-in-solSteps <?php if($bucketData[$i]['Bucket']['QuestionOption'][0]['QuestionOption']['is_correct']){ echo 'correct-Answer'; $correctOption="A"; }?>">
$viewFile = '/home/bo6uxs8yrzio/public_html/app/View/Elements/theorypage.ctp' $dataForView = array( 'pageType' => (int) 2, 'bucketData' => array( (int) 0 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 1 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 2 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 3 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 1, 'bucket' => 'Bucket 1', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Bucket' => array( 'id' => '2055', 'topic_id' => '467', 'level_id' => '3', 'goal_id' => '1', 'name' => 'Bucket13467', 'question_id' => '9995', 'standard_time' => '45', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 2, 'bucket' => 'Bucket 2', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array( [maximum depth reached] ) ), 'Level' => array( 'id' => '3', 'module_id' => '2', 'name' => 'Level 3', 'position' => '3', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 3, 'bucket' => 'Bucket 3', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Bucket' => array( 'id' => '2065', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '2', 'name' => 'Bucket24467', 'question_id' => '10025', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 234 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 0 [APP/View/Elements/theorypage.ctp, line 237]Code Context<span class="col-xs-1 span-design">A</span>
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][0]['QuestionOption']['description'])!=''){
$viewFile = '/home/bo6uxs8yrzio/public_html/app/View/Elements/theorypage.ctp' $dataForView = array( 'pageType' => (int) 2, 'bucketData' => array( (int) 0 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 1 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 2 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 3 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 1, 'bucket' => 'Bucket 1', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Bucket' => array( 'id' => '2055', 'topic_id' => '467', 'level_id' => '3', 'goal_id' => '1', 'name' => 'Bucket13467', 'question_id' => '9995', 'standard_time' => '45', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 2, 'bucket' => 'Bucket 2', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array( [maximum depth reached] ) ), 'Level' => array( 'id' => '3', 'module_id' => '2', 'name' => 'Level 3', 'position' => '3', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 3, 'bucket' => 'Bucket 3', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Bucket' => array( 'id' => '2065', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '2', 'name' => 'Bucket24467', 'question_id' => '10025', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 237 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 0 [APP/View/Elements/theorypage.ctp, line 244]Code Context?>
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][0]['QuestionOption']['image'])!=''){
$viewFile = '/home/bo6uxs8yrzio/public_html/app/View/Elements/theorypage.ctp' $dataForView = array( 'pageType' => (int) 2, 'bucketData' => array( (int) 0 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 1 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 2 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 3 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 1, 'bucket' => 'Bucket 1', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Bucket' => array( 'id' => '2055', 'topic_id' => '467', 'level_id' => '3', 'goal_id' => '1', 'name' => 'Bucket13467', 'question_id' => '9995', 'standard_time' => '45', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 2, 'bucket' => 'Bucket 2', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array( [maximum depth reached] ) ), 'Level' => array( 'id' => '3', 'module_id' => '2', 'name' => 'Level 3', 'position' => '3', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 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'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 244 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
?>
</div>
<div class="col-md-5 col-xs-12 options-in-solSteps <?php if($bucketData[$i]['Bucket']['QuestionOption'][1]['QuestionOption']['is_correct']) { echo 'correct-Answer'; $correctOption="B"; } ?>">
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'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 251 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 1 [APP/View/Elements/theorypage.ctp, line 254]Code Context<span class="col-xs-1 span-design">B</span>
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][1]['QuestionOption']['description'])!=''){
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=> array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 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depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum 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Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 1 [APP/View/Elements/theorypage.ctp, line 259]Code Context<?php
}
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[maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 259 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
</div>
<div class="col-md-8">
<div class="col-md-5 col-xs-12 options-in-solSteps <?php if($bucketData[$i]['Bucket']['QuestionOption'][2]['QuestionOption']['is_correct']){ echo 'correct-Answer'; $correctOption="C"; } ?>">
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(int) 1 => array( 'Bucket' => array( 'id' => '2055', 'topic_id' => '467', 'level_id' => '3', 'goal_id' => '1', 'name' => 'Bucket13467', 'question_id' => '9995', 'standard_time' => '45', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 2, 'bucket' => 'Bucket 2', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array( [maximum depth reached] ) ), 'Level' => array( 'id' => '3', 'module_id' => '2', 'name' => 'Level 3', 'position' => '3', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Bucket' => array( 'id' => '2056', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '1', 'name' => 'Bucket14467', 'question_id' => '9996', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 5, 'bucket' => 'Bucket 5', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Bucket' => array( 'id' => '2069', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '1', 'name' => 'Bucket15467', 'question_id' => '10030', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 6, 'bucket' => 'Bucket 6', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '1', 'name' => 'Goal 1', 'position' => '1', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Bucket' => array( 'id' => '2062', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '2', 'name' => 'Bucket22467', 'question_id' => '10009', 'standard_time' => '30', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '51', 'admin_two' => '34', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 3, 'bucket' => 'Bucket 3', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '2', 'module_id' => '2', 'name' => 'Level 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Bucket' => array( 'id' => '2065', 'topic_id' => '467', 'level_id' => '4', 'goal_id' => '2', 'name' => 'Bucket24467', 'question_id' => '10025', 'standard_time' => '75', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '35', 'admin_two' => '73', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 7, 'bucket' => 'Bucket 7', 'Question' => array([maximum depth reached]), 'QuestionOption' => array([maximum depth reached]), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '4', 'module_id' => '3', 'name' => 'Level 4', 'position' => '4', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 268 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 2 [APP/View/Elements/theorypage.ctp, line 271]Code Context<span class="col-xs-1 span-design">C</span>
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][2]['QuestionOption']['description'])!=''){
$viewFile = '/home/bo6uxs8yrzio/public_html/app/View/Elements/theorypage.ctp' $dataForView = array( 'pageType' => (int) 2, 'bucketData' => array( (int) 0 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 1 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 2 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 3 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 'grade-6-maths', 'subjectdataHeader' => array( (int) 0 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 1 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 2 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 3 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 4 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ), (int) 5 => array( 'Subject' => array( [maximum depth reached] ), 'Chapter' => array( [maximum depth reached] ) ) ), 'url' => 'https://www.actucation.com/' ) $pageType = (int) 2 $bucketData = array( (int) 0 => array( 'Bucket' => array( 'id' => '2008', 'topic_id' => '467', 'level_id' => '2', 'goal_id' => '1', 'name' => 'Bucket12467', 'question_id' => '9523', 'standard_time' => '30', 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[maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 271 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 2 [APP/View/Elements/theorypage.ctp, line 278]Code Context<?php
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'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 278 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
?>
</div>
<div class="col-md-5 col-xs-12 options-in-solSteps <?php if($bucketData[$i]['Bucket']['QuestionOption'][3]['QuestionOption']['is_correct']){ echo 'correct-Answer'; $correctOption="D"; }?>">
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depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 6 => array( 'Bucket' => array( 'id' => '2066', 'topic_id' => '467', 'level_id' => '5', 'goal_id' => '2', 'name' => 'Bucket25467', 'question_id' => '10026', 'standard_time' => '120', 'is_theory' => '1', 'is_hint' => '1', 'status' => '1', 'admin_one' => '73', 'admin_two' => '51', 'admin_three' => null, 'publish' => '1', 'duplicate' => '0', 'is_deleted' => '0', 'old_bucket_id' => '0', 'bucketname' => (int) 8, 'bucket' => 'Bucket 8', 'Question' => array( [maximum depth reached] ), 'QuestionOption' => array( [maximum depth reached] ), 'Solution' => array([maximum depth reached]) ), 'Level' => array( 'id' => '5', 'module_id' => '3', 'name' => 'Level 5', 'position' => '5', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Topic' => array( 'id' => '467', 'chapter_id' => '51', 'parent_id' => '541', 'name' => 'Relationship between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'
include - APP/View/Elements/theorypage.ctp, line 285 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 289]Code Context
<?php
if(trim($bucketData[$i]['Bucket']['QuestionOption'][3]['QuestionOption']['description'])!=''){
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=> array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 4 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 5 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ), (int) 6 => array( 'Bucket' => array( [maximum depth reached] ), 'Level' => array( [maximum depth reached] ), 'Topic' => array( [maximum depth reached] ), 'Goal' => array( [maximum depth reached] ), 'Theory' => array( [maximum depth reached] ) ) ), 'description' => null, 'SubtopicName' => 'relationship between variables ', 'subject' => 'Grade 6 Maths', 'subjectUrl' => 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between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum 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'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 289 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Notice (8): Undefined offset: 3 [APP/View/Elements/theorypage.ctp, line 296]Code Context<?php
}
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between Variables ', 'is_paid' => '0', 'price' => '0.00', 'pre_request' => '', 'position' => '3', 'status' => '1', 'publish' => '1', 'is_deleted' => '0' ), 'Goal' => array( 'id' => '2', 'name' => 'Goal 2', 'position' => '2', 'status' => '1', 'created' => '0', 'updated' => '0' ), 'Theory' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $description = null $SubtopicName = 'relationship between variables ' $subject = 'Grade 6 Maths' $subjectUrl = 'grade-6-maths' $subjectdataHeader = array( (int) 0 => array( 'Subject' => array( 'id' => '6', 'name' => 'Calculus 1', 'short_display_name' => 'Differentiation', 'position' => '1', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 1 => array( 'Subject' => array( 'id' => '7', 'name' => 'Calculus 2', 'short_display_name' => 'Integration', 'position' => '2', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 2 => array( 'Subject' => array( 'id' => '3', 'name' => 'College Physics 1', 'short_display_name' => 'Mechanics', 'position' => '3', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ) ) ), (int) 3 => array( 'Subject' => array( 'id' => '5', 'name' => 'College Physics 2', 'short_display_name' => 'Electrodynamics', 'position' => '4', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ) ) ), (int) 4 => array( 'Subject' => array( 'id' => '9', 'name' => 'Grade 6 Maths', 'short_display_name' => 'maths 1', 'position' => '5', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ), (int) 3 => array( [maximum depth reached] ), (int) 4 => array( [maximum depth reached] ), (int) 5 => array( [maximum depth reached] ) ) ), (int) 5 => array( 'Subject' => array( 'id' => '10', 'name' => 'Grade 7 Maths Algebra', 'short_display_name' => 'G-7 Algebra', 'position' => '6', 'status' => '1', 'is_deleted' => '0' ), 'Chapter' => array( (int) 0 => array( [maximum depth reached] ), (int) 1 => array( [maximum depth reached] ), (int) 2 => array( [maximum depth reached] ) ) ) ) $url = 'https://www.actucation.com/' $i = (int) 5 $j = (int) 4 $str = '<ul> <li>Plot the coordinates on the graph from the table.</li> <li>From this plotted graph, we can observe the relation between <span class="math-tex">\(x\)</span> and <span class="math-tex">\(y.\)</span></li> <li>If one value increases, the other value also increases.</li> </ul> ' $pos = false $pos2 = false $header = '' $m = (int) 0 $correctOption = 'A'include - APP/View/Elements/theorypage.ctp, line 296 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::_renderElement() - CORE/Cake/View/View.php, line 1195 View::element() - CORE/Cake/View/View.php, line 412 include - APP/View/Students/subject.ctp, line 10 View::_evaluate() - CORE/Cake/View/View.php, line 935 View::_render() - CORE/Cake/View/View.php, line 897 View::render() - CORE/Cake/View/View.php, line 466 Controller::render() - CORE/Cake/Controller/Controller.php, line 952 Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192 Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160 [main] - APP/webroot/index.php, line 420
Option A is Correct
To write an equation from a given graph, following steps should be followed:
(i) Write the coordinates from the given graph.
(ii) Try to observe the relation between the coordinate pairs.
(iii) Write the relation in an equation form.
For example:
The following graph shows the relationship between the number of miles traveled and the number of hours.
\((2,\;10)\\ (4,\;20)\\ (6,\;30)\)
The first coordinate is, \((2,\;10)\)
Here, \(2\) is multiplied with \(5\) to get \(10\).
The second coordinate is, \((4,\;20)\)
\(4\) is multiplied with \(5\) to get \(20\).
The third coordinate is \((6,\;30)\)
\(6\) is multiplied with \(5\) to get \(30\).
So, we can write a rule: \(y=5x\)
\(y=5x\)
Put \(x=1\), then \(y=5×1=5\)
Put \(x=2\), then \(y=5×2=10\)
Put \(x=3\), then \(y=5×3=15\) and so on.
It means our rule is working.
A \(y=10+x\)
B \(y=2x\)
C \(y=x+20\)
D \(y=20x\)
\(y=10+x\)
.\(y=2x\)
\(y=x+20\)
\(y=20x\)
Option D is Correct