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1aa974f8-2ce7-4d8b-9b0c-17609d667d58.html
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<h4>Activity</h4>
<p dir="ltr">Return to your original group and work through this next part of your assigned problem. Then be ready to share. </p>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="a06fb1e5-369a-4048-acf4-e6ed73f53266" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>When Raoul runs on the treadmill at the gym, the number of calories, \(c\), he burns varies directly with the number of minutes, \(m\), he uses the treadmill. He burned 315 calories when he used the treadmill for 18 minutes. </li>
</ol>
<p>How many calories would he burn if he ran on the treadmill for 25 minutes?</p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p dir="ltr">Compare your answer: </p>
<p dir="ltr">\( c=437.5 \), so Raoul would burn 437.5 calories if he used the treadmill for 25 minutes.<br>
</p>
</div>
</div>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="625fb9a2-a1c1-44db-813b-7519ab267ded" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>The number of calories, \(c\), burned varies directly with the amount of time, \(t\), spent exercising. Arnold burned 312 calories in 65 minutes exercising. </li>
</ol>
<p>How many calories would he burn if he exercises for 90 minutes?</p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p dir="ltr">Compare your answer: </p>
<p dir="ltr">\( c=432 \)<br>
</p>
</div>
</div>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="0faf2928-ca7d-4139-ab19-e852502090b9" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>The distance a moving body travels, \(d\), varies directly with time, \(t\), it moves. A train travels 100 miles in 2 hours.</li>
</ol>
<p>How many miles would it travel in 5 hours?<br>
</p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p dir="ltr">Compare your answer: </p>
<p dir="ltr">250 miles</p>
</div>
</div>
<br>
<div class="os-raise-ib-cta" data-button-text="Are you ready for more?" data-fire-event="eventShow1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-cta-prompt">
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</div>
</div>
<br>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="119a62f4-634e-4ebc-9dbd-57705ffbbd9d" data-schema-version="1.0" data-wait-for-event="eventShow1">
<div class="os-raise-ib-input-content">
<h4>Extending Your Thinking</h4>
<p>For example 1, how could you find out how many minutes Raoul would need to use the treadmill to burn a certain number of calories?</p>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer: Your answer may vary, but here is a sample.<br>
Substitute the number of calories you want to burn into the equation for \( c \) and then solve for \( m \).<br>
</p>
</div>
</div>
<br>
<br>
<h4>Video: Using Direct Variation to Solve Application Problems</h4>
<p dir="ltr">Watch the following video to learn more about how to use direct variation to solve an application problem.</p>
<div class="os-raise-d-flex-nowrap os-raise-justify-content-center">
<div class="os-raise-video-container"><video controls="true" crossorigin="anonymous">
<source src="https://k12.openstax.org/contents/raise/resources/262332920b652e0ac822f2af48b9d1dc5c3c6baf">
<track default="true" kind="captions" label="On" src="https://k12.openstax.org/contents/raise/resources/abe9f74658bd7adcd806f0b99267868d34d82793" srclang="en_us">
https://k12.openstax.org/contents/raise/resources/262332920b652e0ac822f2af48b9d1dc5c3c6baf
</video></div>
</div>