-
Notifications
You must be signed in to change notification settings - Fork 1
/
2a8cc26a-3486-4d29-8fb9-5475144013dc.html
22 lines (22 loc) · 1.87 KB
/
2a8cc26a-3486-4d29-8fb9-5475144013dc.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
<h4>Determining the Meaning of a Point on a Graph</h4>
<p>The graph below shows the relationship between a rectangle’s side length and area.</p>
<p><img alt="Points plotted. Horizontal axis, length in inches, 0 to 10. Vertical axis, area in square inches, 0 to 32. Selected points at 2 comma 18, 3 comma 24, 5 comma 30, 6 comma 30, 8 comma 24, 10 comma 10." src="https://k12.openstax.org/contents/raise/resources/ee5ff1817f9a508d05393287cefab0b33b62be9e"></p>
<p>What does the point \((7, 28)\) mean in the situation?</p>
<p>The \(x\)-axis represents the length of the rectangle in inches. So, when \(x=7\), the rectangle has a side length of 7 inches.</p>
<p>The \(y\)-axis represents the area of the rectangle. So, when \(y=28\), the rectangle has an area of 28 square inches.</p>
<p>This also means the rectangle has a width of 4 inches since \(7 \times 4=28\).</p>
<h4>Try It: Determining the Meaning of a Point on a Graph</h4>
<br>
<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">
<p>Using the same graph above, determine the meaning of the point \((3, 24)\) and the width of the rectangle.</p>
</div>
<div class="os-raise-ib-cta-prompt">
<p>Write down your answer, 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>Here is how to determine the meaning of the point \((3, 24)\) and the width of the rectangle:</p>
<p>Since the \(x\)-axis is the length of the rectangle in inches, \(x=3\) represents the length of the rectangle is 3 inches. Since the \(y\)-axis represents the area in square inches, the area of the rectangle is 24 square inches.</p>
<p>This means the width of the rectangle must be 8 inches since \(3 \times 8 = 24\).</p>
</div>