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2c87cbd3-8613-4a42-9e69-1f9b477c952a.html
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<h4>Activity</h4>
<p>For questions 1 - 7, use the following scenario:</p>
<blockquote>
<p>A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet. Find a combination of necklaces and bracelets that she could sell to make the profit listed in each question.</p>
</blockquote>
<!--q1-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="98970380-2b4e-407e-9603-09cf8d02205b" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>Exactly $100 profit.
</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: Your answer may vary, but here is a sample. 10 necklaces and 2 bracelets.</p>
</div>
</div>
<!--Tq2 -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="d3a2c244-3fdb-4d20-8dd1-03dcc20811ce" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>More than $100 profit.</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: Your answer may vary, but here is a sample. 0 necklaces and 21 bracelets.</p>
</div>
</div>
<br>
<!--q3 -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="239047f7-dac3-464b-b98e-ddc1318ab7e0" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>Write an equation whose solution is the combination of necklaces \((n)\) and bracelets \((b)\) she could sell and make exactly $100 profit.</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: Your answer may vary, but here is a sample. \(9n+5b=100\), where \(n\) represents the number of necklaces sold and \(b\) represents the number of bracelets.</p>
</div>
</div>
<!--Interaction End -->
<br>
<!--q4 -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="9a323951-8e81-4db0-8ff9-00dc84048f01" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>Write an inequality whose solutions are the combinations of necklaces \((n)\) and bracelets \((b)\) she could sell and make more than $100 profit.</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: Your answer may vary, but here is a sample. \(9n+5b>100\) where \(n\) represents the number of necklaces sold and \(b\) represents the number of bracelets.</p>
</div>
</div>
<!--Interaction End -->
<br>
<!--BEGIN ADD DESMOS INTERATIVE-->
<ol class="os-raise-noindent" start="5">
<li>Use the graphing tool or technology outside the course.Graph the linear inequality \(y>\frac52x−4\) using the Desmos tool below. </li>
</ol>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<!--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">
<!--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 bracelets. Number of necklaces." src="https://k12.openstax.org/contents/raise/resources/852888c4f18c108082752cb77bd5157597842ff7">
<br>
<br>
</div>
<!--END ADD DESMOS INTERATIVE-->
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="b33c7d5f-00f8-4adc-a14f-62244e5cfec4" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q6-->
<div class="os-raise-ib-pset-problem" data-content-id="0ace0214-876b-4331-8699-f38ca15a2ec8" data-problem-type="dropdown" data-solution="Both" data-solution-options='["Yes", "No","Both"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li> Is (3,18.6) a solution to the inequality?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Both.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Both.</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 -->
<p>Try Again.</p>
</div>
</div>
<!--END ACTIVITY YES/NO DROP DOWN 1 TRY -->
<!--Text Entry Interaction Start -->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="d6a14b4a-78cc-46d3-9a77-fecb2aa9c14b" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="7">
<li>Explain your reasoning.</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<ul class="os-raise-noindent">
<p>Compare your answer: Your answer may vary, but here is a sample. </p>
<p>The answer is both because:</p>
<li>Yes, it is a solution. The point (3,18.6) is in the shaded region.</li>
<li>No, it is not a solution. The vendor can't sell 18.6 bracelets.</li>
</ul>
</div>
</div>
<br>
<!-- "Start "Are you Ready for More? click to reveal. If you have more than one on a page, you will need to change the Data-fire/data-wait-for-events for each set.-->
<div class="os-raise-ib-cta" data-button-text="Are you ready for more?" data-fire-event="eventShowMore1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
</div>
<div class="os-raise-ib-cta-prompt">
</div>
</div>
<div class="os-raise-ib-input" data-button-text="solution" data-content-id="a44ada30-5ee9-456f-8181-da01b41becf2" data-schema-version="1.0" data-wait-for-event="eventShowMore1">
<div class="os-raise-ib-input-content">
<h4>Extending Your Thinking</h4>
<ol class="os-raise-noindent">
<li>Write an inequality using two variables \(x\) and \(y\) where the solution would be represented by shading the entire coordinate plane.</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
Enter your answer here:
</div>
<div class="os-raise-ib-input-ack">
<p>\(x^2+y^2\geq0\)</p>
</div>
</div>
<br>
<br>
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="6a938666-1fc7-4705-9d01-f1bd7cd2eacc" data-schema-version="1.0" data-wait-for-event="eventShowMore1">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>Write an inequality using two variables \(x\) and \(y\) where the solution would be represented by not shading any of the coordinate plane.</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
Enter your answer here:
</div>
<div class="os-raise-ib-input-ack">
<br>
<p>\(x^2+y^2<0\)</p>
</div>
</div>