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e37fa3cb-488e-4172-9b81-e72fbaddfdc7.html
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<h4>Activity</h4>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="4a860393-f63f-482f-b072-7e2462e92598" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="02cd7ec6-2c93-4a63-8c84-579687fa77e9" data-problem-comparator="integer" data-problem-type="input" data-solution="160">
<div class="os-raise-ib-pset-problem-content">
<p>Use the following scenario for questions 1–7:</p>
<p>
Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
</p>
<ol class="os-raise-noindent">
<li>
How many liters of water are in Tank A after 4 minutes?
</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 160</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 160</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="7cca0ed8-6958-4125-a692-7aefdee8e06b" data-problem-comparator="integer" data-problem-type="input" data-solution="136">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>How many liters of water are in Tank A after 80 seconds?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 136</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 136</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="5128b8be-e75c-4645-a47f-7794b1fe1f31" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>How many liters of water are in Tank A after 4 minutes?</li>
</ol>
</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:</p>
<p>\(124+9m\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="d9506767-0a91-417c-8816-6e9d4b8243f9" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="64f729a2-90bb-4753-9f2c-0cbf4faf3a14" data-problem-comparator="integer" data-problem-type="input" data-solution="3">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>How many minutes, \(m\), have passed when Tank A contains 151 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 3</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 3</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="58431f0d-4e03-4eab-83d6-6a8fba7eebfb" data-problem-comparator="float" data-problem-type="input" data-solution="7.5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>How many minutes, \(m\), have passed when Tank A contains 191.5 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 7.5</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 7.5</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q6-->
<div class="os-raise-ib-pset-problem" data-content-id="18a4e338-8371-4387-8b0b-404af3e07d5d" data-problem-comparator="float" data-problem-type="input" data-solution="16.25">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>How many minutes, \(m\), have passed when Tank A contains 270.25 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 16.25</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 16.25</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--Q7-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="790a977b-9584-4958-8170-04852a8a562a" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="7">
<li>How many minutes, \(m\), have passed when Tank A contains \(p\) liters of water?</li>
</ol>
</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:</p>
<p>\(\frac{p-124}{9}\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<p>For questions 8–14, use the following scenario:</p>
<p>Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute.</p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="4c38cb85-4cdb-45f0-a96a-4c928525c945" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q8-->
<div class="os-raise-ib-pset-problem" data-content-id="b69ebe38-b909-4b91-a2be-57d87cd67ce9" data-problem-comparator="floatt" data-problem-type="input" data-solution="78.75">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>How many liters of water are in Tank B after 30 seconds?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 78.75</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 78.75</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q9-->
<div class="os-raise-ib-pset-problem" data-content-id="c8613b4f-ce83-4e05-afbe-280478f7b8ac" data-problem-comparator="float" data-problem-type="input" data-solution="62.5">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>How many liters of water are in Tank B after 7 minutes?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 62.5</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 62.5</p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--Q10-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="b875deca-bd08-428a-8b32-e91f168dda71" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="10">
<li>How many liters of water are in Tank B after \(t\) minutes?</li>
</ol>
</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:</p>
<p>\(80 -2.5t\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="369e7511-fc66-496f-92ca-f8b3ff5c04ec" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q11-->
<div class="os-raise-ib-pset-problem" data-content-id="faf4b7e6-5040-40d6-acb4-8942ac268566" data-problem-comparator="floatt" data-problem-type="input" data-solution="2">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="11">
<li>For how many minutes, \(t\), has the water been draining when Tank B contains 75 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 2</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 2</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q12-->
<div class="os-raise-ib-pset-problem" data-content-id="5a22dfc4-28bd-4658-86b9-60e3bb15bc01" data-problem-comparator="float" data-problem-type="input" data-solution="19">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="12">
<li>For how many minutes, \(t\), has the water been draining when Tank B contains 32.5 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 19</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 19</p>
</div>
</div>
<!--END QUESTION.-->
<!--Q13-->
<div class="os-raise-ib-pset-problem" data-content-id="4b4843d7-b07d-4bb1-ab87-dd68b284af61" data-problem-comparator="float" data-problem-type="input" data-solution="24.8">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="13">
<li>For how many minutes, \(t\), has the water been draining when Tank B contains 18 liters of water?</li>
</ol>
<p>Enter your answer here.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 24.8</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Nice try! The correct answer is 24.8</p>
</div>
</div>
<!--END QUESTION.-->
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--Q14-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="a54ce769-2379-4837-8dfe-c0e61b35afcc" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="14">
<li>For how many minutes, \(t\), has the water been draining when Tank B contains v liters of water?</li>
</ol>
</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:</p>
<p>\(\frac{80-v}{2.5}\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<h4>Video: Isolating the Variable</h4>
<p>Watch the following video to further explore the above situation.</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/b3e1617f9209d3d2ce606e25ab6db467025d0a42">
<track default="true" kind="captions" label="On" src="https://k12.openstax.org/contents/raise/resources/5a7e758c9ae93ec3cd23701bde7925d284afe8c3 " srclang="en_us">
https://k12.openstax.org/contents/raise/resources/b3e1617f9209d3d2ce606e25ab6db467025d0a42
</video></div>
</div>