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<p><strong><em>Students will complete the following questions to practice the skills they have learned in this lesson.</em></strong></p>
<p>This year, students
in the 9th grade are collecting dimes and quarters for a school
fundraiser. They are trying to collect more money than the students who were
in the 9th grade last year. The students in 9th grade last year collected
$143.88.</p>
<ol class="os-raise-noindent">
<li>Using \(d\) to represent the number of dimes collected and \(q\) to represent the number of quarters, which statement best
represents this situation?</li>
</ol>
<ul>
<li> \( 0.25d+0.1q≥143.88 \)</li>
<li> \( 0.25q+0.1d≥143.88 \)</li>
<li> \( 0.25d+0.1q>143.88 \)</li>
<li> \( 0.25q+0.1d>143.88 \)</li>
</ul>
<p><strong>Answer:</strong>\( 0.25q+0.1d>143.88 \)<br>
</p>
<ol class="os-raise-noindent" start="2">
<li>Which inequality is
represented by the graph?</li>
</ol>
<p><img alt="Inequality graphed on a coordinate plane, origin O. Each axis from negative 8 to 8, by 2’s. Dashed line goes through negative 2 comma negative 10, 0 comma negative 6, and 4 comma 2. The region below the dashed line is shaded." class="img-fluid atto_image_button_text-bottom" height="300" src="https://k12.openstax.org/contents/raise/resources/a1cf2edc2ae294385d8b68efdd4025a752151ae3" width="300"><br>
</p>
<ul>
<li>\( 4x−2y>12 \)</li>
<li> \( 4x−2y<12 \)</li>
<li> \( 4x+2y>12 \)</li>
<li> \( 4x+2y<12 \)</li>
</ul>
<p><strong>Answer:</strong> \( 4x−2y<12 \)<br>
</p>
<p>For exercises 3-4, use the passage below to answer the
questions:</p>
<blockquote>
<p>A farmer is creating a budget for planting soybeans and wheat. Planting
soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants
to spend no more than $100,000 planting soybeans and wheat.</p>
</blockquote>
<ol class="os-raise-noindent" start="3">
<li>Let \(s\) represent the
number of acres of soybeans and \(w\) represent the number of acres of wheat.
Write an inequality to describe the situation.</li>
</ol>
<ul>
<li> \(500s + 200w < 100,000\)</li>
<li>\( 500s + 200w
≤ 100,000\)</li>
<li>\( 200s + 500w
≤ 100,000\)</li>
<li>\( 200s + 500w > 100,000\)<br>
</li>
</ul>
<p><strong>Answer:</strong> \( 200s + 500w ≤ 100,000 \)</p>
<ol class="os-raise-noindent" start="4">
<li> Name one solution to
the inequality and explain what it represents in that situation.</li>
</ol>
<ul>
<li>\((200, 130)\)</li>
<li>\((250, 100)\)</li>
<li>\((170, 140)\)</li>
<li>\( (300, 90) \)</li>
</ul>
<p><strong>Answer:</strong> \((250, 100)\)</p>
<p>For exercises 5-7, use the passage below to answer the
questions:</p>
<blockquote>
<p>Amira is ordering dried chili peppers and corn husks for
her cooking class. Chili peppers cost $16.95 per pound and corn husks cost
$6.49 per pound.</p>
<p>Amira spends less than $50 on \( d \)<i> </i>pounds of dried chili peppers and \( h \) pounds of corn husks.</p>
<p>Here is a graph that represents this
situation.</p>
<p><img alt="Inequality on grid" class="img-fluid atto_image_button_text-bottom" height="301" src="https://k12.openstax.org/contents/raise/resources/a759f4aa3fb063072bdd2757468a7e1efcb84fb0" width="300"><br>
</p>
</blockquote>
<ol class="os-raise-noindent" start="5">
<li>Write an
inequality that represents this situation.</li>
</ol>
<ul>
<li>\(16.95d +
6.49h ≥ 50\)</li>
<li>\(16.95d –
6.49h < 50\)</li>
<li>\(16.95d +
6.49h < 50\)</li>
<li>\(16.95d +
6.49h > 50 \)</li>
</ul>
<p><strong>Answer:</strong> \( 16.95d + 6.49h < 50 \)</p>
<ol class="os-raise-noindent" start="6">
<li>Can Amira purchase 2 pounds of dried chili peppers and 4 pounds of corn husks
and spend less than $50? Be prepared to show your reasoning.</li>
</ol>
<p><strong>Answer:</strong> No. She would be spending \( 16.95(2) + 6.49(4) \), or
$59.86.</p>
<ol class="os-raise-noindent" start="7">
<li>Can Amira purchase 1.5 pounds of dried chili peppers and 3 pounds of corn
husks and spend less than $50? Be prepared to show your reasoning.</li>
</ol>
<p><strong>Answer: </strong>Yes. She would be spending \( 16.95(1.5) + 6.49(3) \), or $44.90.</p>
<p>For exercises 8-10, use the passage below to answer the
questions:</p>
<blockquote>
<p>A beach store rents surfboards for $15
per hour and beach umbrellas for $10 per hour. The store wants to make at least
$200 per day on renting beach equipment. Let \( s \) be the number of hours that a surfboard is rented and \( u \) be the number of hours an umbrella is
rented.</p>
</blockquote>
<ol class="os-raise-noindent" start="8">
<li>Which inequality represents this situation?</li>
</ol>
<ul>
<li>\(15s – 10u ≥ 200\)</li>
<li>\(15s + 10u ≤ 200\)</li>
<li>\(
15s + 10u ≥ 200\)</li>
<li>\(15s + 10u
< 200\) </li>
</ul>
<p><b>Answer: </b>\(15s + 10u ≥ 200\)</p>
<ol class="os-raise-noindent" start="9">
<li>Can the
beach store rent surfboards for 7 total hours and rent umbrellas for 9
total hours and reach their goal of making $200? Be prepared to show your reasoning.</li>
</ol>
<p><strong>Answer: </strong>No. They would be making \( 15(7) + 10(9) \), or $195.</p>
<ol class="os-raise-noindent" start="10">
<li>Can the
beach store rent surfboards for 10 total hours and rent umbrellas for 4
total hours and reach their goal of making $200? Be prepared to show your reasoning.</li>
</ol>
<p><strong>Answer: </strong>No. They would be making \( 15(10) + 10(4) \), or $190.</p>
<ol class="os-raise-noindent" start="11">
<li>Mariah has data in a table. Use desmos to plot the data and find a possible inequality in two variables that could be represented by this data. Which graph represents this inequality?</li>
</ol>
<table class="os-raise-skinnytable">
<thead>
<tr>
<th scope="col">\(x\)</th>
<th scope="col">\(y\)</th>
</tr>
</thead>
<tbody>
<tr>
<td>−4</td>
<td><br />
7</td>
</tr>
<tr>
<td>−2</td>
<td><br />
3</td>
</tr>
<tr>
<td>0</td>
<td><br />
-1</td>
</tr>
<tr>
<td>2</td>
<td><br />
-5</td>
</tr>
</tbody>
</table>
<ul>
<li>\(Y < -2x-4\)</li>
<li>\(Y \leq -2x-4\)</li>
<li>\(Y > -2x-4\)</li>
<li>\(Y \leq -2x-4\)</li>
</ul>
<p> </p>
<p><br>
</p>