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<h4>Activity</h4>
<img alt="Los Angeles county fair." class="img-fluid atto_image_button_text-bottom" height="366" src="https://k12.openstax.org/contents/raise/resources/e8b47724f5f8ec17be0e61287de32802b99adc9a" width="550">
<p> </p>
<p>For numbers 1–7, use the equation \(x + y = 20\) which represents the relationship between the number of games, \(x\), the number of rides, \(y\), and the dollar amount a student is spending on games and rides at an amusement park.</p>
<!--START QUESTION 1-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="d085f73b-5c42-402b-9dd1-a561bc96ff4e" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<div class="os-raise-ib-pset-problem" data-content-id="33a13b30-322b-42d7-bc20-e13bbbc75e7c" data-problem-comparator="integer" data-problem-type="input" data-solution="20">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>What’s the number of rides the student could get on if they don’t play any games?</li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 20</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 20. </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>
<!--START QUESTION 2-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="a00a03ce-51ed-4271-a196-80b994bf0518" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="2">
<li>What would the coordinate be on the graph to represent the answer to question 1?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\((0,20)\)<br></p>
</div>
</div>
<!--END QUESTION.-->
<!--START QUESTION 3-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="43d02be9-8e5c-4212-8bbf-150008ca30cd" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<div class="os-raise-ib-pset-problem" data-content-id="d35b8758-2cb7-4005-93cb-b4f386b11e63" data-problem-comparator="integer" data-problem-type="input" data-solution="20">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>What’s the number of games the student could play if they don’t get on any rides?</li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 20</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 20. </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>
<!--START QUESTION 4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="b35d04de-d719-412a-8597-864d07598ac4" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="4">
<li>What would the coordinate be on the graph to represent the answer to question 3?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\((20,0)\)<br></p>
</div>
<!--START QUESTION 4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="2804ba21-7743-45d7-8364-f395da6c54fb" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="4">
<li>What would the coordinate be on the graph to represent the answer to question 3?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\((20,.0)\).<br></p>
</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-attempts-exhausted-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--END QUESTION.-->
<!--START QUESTION 5 -->
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="5">
<li>On the coordinate plane, mark the points found in numbers 2 and 4. Draw a line to connect the two points you’ve drawn. Use the graphing tool or technology outside the course. Graph the equation that represents this scenario using the Desmos tool below. </li>
</ol>
</div>
<div class="os-raise-ib-cta-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>When you have finished graphing, then select the <strong>solution</strong> button to compare your work. </p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
<p>Compare your answer:</p>
<img alt="Graph of a linear function. numbers of rides, number of games." height="194" src="https://k12.openstax.org/contents/raise/resources/584409033f473f355e3fcabc8c5bac8a2a44ad2b">
<br>
<br>
</div>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<!--START QUESTION 6-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="ed469287-6c05-4836-9ec0-ca91164b949f" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<div class="os-raise-ib-pset-problem" data-content-id="de443909-bb84-44c7-ad03-31c4ec93672e" data-problem-comparator="integer" data-problem-type="input" data-solution="20">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Complete the sentence: “If the student played no games, they can get on <u> </u> rides.” </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 20</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 20. </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-attempts-exhausted-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--START QUESTION 7-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="eb42acfe-adea-4b48-b707-035182acf034" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="7">
<li>What’s the number of rides the student could get on if they don’t play any games?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Decreases by 1<br></p>
</div>
</div>
<!--END QUESTION.-->
<!--START QUESTION 8-->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="cf1e81d2-f9bf-4eb9-8831-94fd82e1b23a" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<div class="os-raise-ib-pset-problem" data-content-id="239e97e2-ea4a-4629-8e65-2c5f5462b05d" data-problem-comparator="integer" data-problem-type="input" data-solution="20">
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>What is the slope of your graph? </li>
</ol>
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 1</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 1 </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-attempts-exhausted-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<!--START QUESTION 9-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="54d042ae-ca1c-4638-8b11-0ef6ea7c82d2" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="9">
<li>At what point does the graph intersect the vertical axis?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\((0,20)\).<br></p>
</div>
</div>
<!--END QUESTION.-->
<!--START QUESTION 10-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="20a334e3-2a35-4034-bf0a-bfe43fa5ae62" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="10">
<li>Rearrange the equation to solve for \(y\).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\(y = -x + 20\) or \(y = 20 -x\)<br></p>
</div>
</div>
<!--END QUESTION.-->
<!--START QUESTION 11-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="3e2a60fe-1c87-4831-8df1-92a3943d236f" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<!-- INSERT ANY VALID HTML HERE -->
<ol class="os-raise-noindent" start="11">
<li>What connections, if any, do you notice between your new equation and the graph?</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<!-- INSERT ANY VALID HTML HERE -->
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>The new equation shows where the graph intersects the \(y\)-axis at 20, so if the student plays 0 games, they have the money to go on 20 rides. Since the slope of the graph is \(-1\), for every 1 fewer ride they go on, they can play 1 game.<br></p>
</div>
</div>
<!--END QUESTION.-->
</div>