98243733-e56d-4e0f-a3bc-d5c2a6919c3e.html

<h3>Cool Down (5 minutes)</h3>
<h4>Student Activity</h4>
<p>A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams.</p>
<ol class="os-raise-noindent">
  <li>Write an equation to represent the relationship between the total weight of the
      bowl in grams, \( W \), and the tablespoons of sugar, \( T \).</li>
</ol>
<p><strong>Answer:</strong> \( W=340 + 12.5T \), or \( 340 + 12.5T = 740 \)</p>
<ol class="os-raise-noindent" start="2">
  <li>When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Be prepared to show your reasoning.</li>
</ol>
<p><strong>Answer:</strong> </p>
<p>32 tablespoons;<br>
  \(740=340+12.5T\)<br>
  \(400=12.5T\); Subtract 340 from both sides.<br>
  \(32=T\); Divide both sides by 12.5.
</p>

  <p>The graph represents the relationship between the number of tablespoons of sugar in the bowl and the total weight of the bowl.</p>

<img alt="Graph of a line. Weight, grams. Sugar, tablespoons." height="196" src="https://k12.openstax.org/contents/raise/resources/b1dadb12d00e370697db2a2a2d30229cbe3eab98" width="244">
<br>
<br>
<ol class="os-raise-noindent" start="3">
<li>Which point on the graph could represent your answer to the previous question?</li></ol>
<p><strong>Answer:</strong>  Point D, because its coordinates could be (32, 740).</p>
<ol class="os-raise-noindent" start="4">
  <li>About how many tablespoons of sugar are in the bowl when the total weight is 600 grams?</li>
</ol>
<p><strong>Answer:</strong> About 21 tablespoons. Looking at the graph, when the weight is 600, the line is about at 21.</p>