Modeling using Variation - Revision history

Lila at 17:10, 25 October 2021

2021-10-25T17:10:26Z

2021-10-25T17:09:48Z

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Resources

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 <h3 data-type="title">Analysis of the Solution</h3>
 <p id="fs-id1165137852181">The graph of this equation is a rational function.</p>
-<div style="width: 498px" class="wp-caption aligncenter"><img src="https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/1227/2015/04/03010806/CNX_Precalc_Figure_03_09_0042.jpg" alt="Graph of y=25/(x^3) with the labeled points (2, 25) and (6, 25/27)." width="488" height="292" data-media-type="image/jpg" /></p>
+<div style="width: 498px" class="wp-caption aligncenter">[https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/1227/2015/04/03010806/CNX_Precalc_Figure_03_09_0042.jpg Graph of y=25/(x^3) with the labeled points (2, 25) and (6, 25/27)] </p>
 <p class="wp-caption-text"><b>Figure 4</b></p>
 </div>

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 <h3 data-type="title">Analysis of the Solution</h3>
 <p id="fs-id1165134557390">The graph of this equation is a simple cubic, as shown below.</p>
-<div style="width: 497px" class="wp-caption aligncenter"><img src="https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/1227/2015/04/03010805/CNX_Precalc_Figure_03_09_0022.jpg" alt="Graph of y=25/8(x^3) with the labeled points (2, 25) and (6, 675)." width="487" height="367" data-media-type="image/jpg" /></p>
+<div style="width: 497px" class="wp-caption aligncenter">[https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/1227/2015/04/03010805/CNX_Precalc_Figure_03_09_0022.jpg Graph of y=25/8(x^3) with the labeled points (2, 25) and (6, 675).]</p>
 <p class="wp-caption-text"><b>Figure 2</b></p>
 </div>

← Older revision		Revision as of 17:08, 25 October 2021
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	* [https://www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-direct-and-inverse-variation/v/direct-and-inverse-variation Intro to Direct & Inverse Variation], Khan Academy		* [https://www.khanacademy.org/math/algebra-home/alg-rational-expr-eq-func/alg-direct-and-inverse-variation/v/direct-and-inverse-variation Intro to Direct & Inverse Variation], Khan Academy
	* [https://www.youtube.com/watch?v=AMzCEcsd09o Direct Inverse and Joint Variation Word Problems], The Organic Chemistry Tutor		* [https://www.youtube.com/watch?v=AMzCEcsd09o Direct Inverse and Joint Variation Word Problems], The Organic Chemistry Tutor
		+
		+	== Licensing ==
		+	Content obtained and/or adapted from:
		+	* [https://courses.lumenlearning.com/precalcone/chapter/modeling-using-variation/ Modeling Using Variation, Lumen Learning Precalculus 1] under a CC BY license

← Older revision		Revision as of 17:06, 25 October 2021
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	</table>		</table>
−	~~</section>~~

	<h1 data-type="title">Key Concepts</h1>		<h1 data-type="title">Key Concepts</h1>

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 <h1 data-type="title">Key Equations</h1>
 <table id="eip-id1165133094986" summary="..">
-<tbody>
 <tr>
 <td data-valign="middle" data-align="left">Direct variation</td>
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 <td><math>y=\frac{k}{{x}^{n}},k\text{ is a nonzero constant}</math>.</td>
 </tr>
-</tbody>
 </table>
 </section>
-<section id="fs-id1165137419773" class="key-concepts" data-depth="1">
 <h1 data-type="title">Key Concepts</h1>
 <ul id="fs-id1165137723142">

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 </div>
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-<h3>Try It 3</h3>
 <h1 data-type="title">Key Equations</h1>
 <table id="eip-id1165133094986" summary="..">

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 </div>
 <div id="fs-id1165137736204" class="note precalculus qa textbox" data-type="note" data-has-label="true" data-label="Q&amp;A">
-<h3>Q &amp; A</h3>
 ==Inverse variation==
 <div id="fs-id1165135397976" class="note textbox" data-type="note" data-has-label="true" data-label="A General Note">
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 </div>
 <div class="bcc-box bcc-success">
-<h3>Try It 2</h3>
 ==Joint variation==
 <p id="fs-id1165137558033">Many situations are more complicated than a basic direct variation or inverse variation model. One variable often depends on multiple other variables. When a variable is dependent on the product or quotient of two or more variables, this is called <strong>joint variation</strong>. For example, the cost of busing students for each school trip varies with the number of students attending and the distance from the school. The variable <em>c</em>, cost, varies jointly with the number of students, <em>n</em>, and the distance, <em>d</em>.</p>

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 <p><a href="https://courses.lumenlearning.com/precalcone/chapter/solutions-18/" target="_blank" rel="noopener">Solution</a></p>
 </div>
-<h2> Solve inverse variation problems</h2>
+==Inverse variation==
 <div id="fs-id1165135397976" class="note textbox" data-type="note" data-has-label="true" data-label="A General Note">
 <h3 class="title" data-type="title">A General Note: Inverse Variation</h3>
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 <p><a href="https://courses.lumenlearning.com/precalcone/chapter/solutions-18/" target="_blank" rel="noopener">Solution</a></p>
 </div>
-<h2> Solve problems involving joint variation</h2>
+==Joint variation==
 <p id="fs-id1165137558033">Many situations are more complicated than a basic direct variation or inverse variation model. One variable often depends on multiple other variables. When a variable is dependent on the product or quotient of two or more variables, this is called <strong>joint variation</strong>. For example, the cost of busing students for each school trip varies with the number of students attending and the distance from the school. The variable <em>c</em>, cost, varies jointly with the number of students, <em>n</em>, and the distance, <em>d</em>.</p>
 <div id="fs-id1165135177639" class="note textbox" data-type="note" data-has-label="true" data-label="A General Note">

← Older revision		Revision as of 17:00, 25 October 2021
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		+	==Direct Variation==
	<div id="fs-id1165137730075" class="note textbox" data-type="note" data-has-label="true" data-label="A General Note">		<div id="fs-id1165137730075" class="note textbox" data-type="note" data-has-label="true" data-label="A General Note">
	<h3 class="title" data-type="title">A General Note: Direct Variation</h3>		<h3 class="title" data-type="title">A General Note: Direct Variation</h3>