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9adf0016-e1c6-4efb-b527-47a81b9ffd8d.html
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<h4>Activity</h4>
<p>This activity is an extension of the expectations in the TEKS.</p>
<p>For questions 1–6, use the following scenario:</p>
<blockquote>
<p>A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.</p>
<p>The band needs to find the combinations of number of tickets sold, \( t \), and number of concerts held, \( c \), that would allow it to reach its fundraising goal.</p>
</blockquote>
<br>
<!--Q#1-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="1bd03aef-d41f-4bdf-b84c-2428ac17bf84" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>Write an inequality to represent the constraints in this situation.</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>\( 25t - 1,250c \geq 20,000 \)</p>
</div>
</div>
<br>
<!--START QUESTION #2 -->
<ol class="os-raise-noindent" start="2">
<li> Use the graphing tool or technology outside the course. Graph your inequality from question 1 that represents this scenario using the Desmos tool below. </li>
</ol>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<!--BEGIN ADD DESMOS INTERATIVE-->
<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">
<!--QUESTION IS OUTSIDE OF INTERACTION DUE TO DESMOS-->
</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>
<!--REPLACE IMAGE BELOW WITH CORRECT IMAGE-->
<img alt="Graph of an inequality. Number of concerts held. Number of tickets sold." class="atto_image_button_text-bottom" src="https://k12.openstax.org/contents/raise/resources/c60946be3d346369f604baa00e8a630a084e6bdd"><br>
<br>
<br>
</div>
<!--END ADD DESMOS INTERATIVE-->
<br>
<!--Q#3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="dcfe9ffd-3fbf-4fdc-9d88-91274973e171" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>Name two possible combinations of number of tickets sold and number of concerts held that would allow the band to meet its goal.</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>
<ul>
<li>\( (1000, 2) \)</li>
<li>\( (1400, 5) \)</li>
</ul>
</div>
</div>
<!--Interaction End -->
<br>
<p>For questions 4–6, decide which combination of tickets and concerts would mean more money for charity:</p>
<br>
<!--Q#4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="459ee39f-cce9-4024-8252-1aadd71a5403" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>1,300 tickets and 10 concerts, or 1,300 tickets and 5 concerts?</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>1,300 tickets and 5 concerts</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#5-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="c9dcfc76-f655-44a3-a133-c8be024f0c23" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5">
<li>1,600 tickets and 16 concerts, or 1,200 tickets and 9 concerts?</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>1,600 tickets and 16 concerts.</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#6-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="e2a260d7-fc39-4a10-a500-a3c6327d0a44" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6">
<li>2,000 tickets and 4 concerts, or 2,500 tickets and 10 concerts?</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>2,500 tickets and 10 concerts</p>
</div>
</div>
<!--Interaction End -->
<br>