6ea2f661-cd87-4d1f-bbc1-f64ff32f5180.html

<h4>More Real-Life Graphs</h4>
<p>The graph below represents the total number of smartphones that are shipped to a retail store over the course of 50 days.</p>
<p><img alt="GRAPH THAT SHOWS THE NUMBER OF SMARTPHONES SHIPPED TO A RETAIL STORE AS A FUNCTION OF TIME IN DAYS. THE X-AXIS GOES FROM 0 TO 50 IN INTERVALS OF 10. THE Y-AXIS GOES FROM 0 TO 4000 IN INCREMENTS OF 1000. THE GRAPH IS INCREASING LINEARLY FROM X = 0 TO X = 20, REMAINS CONSTANT FROM X = 20 TO X = 22, AND INCREASES FROM X = 22 TO X = 50." class="img-fluid atto_image_button_text-bottom" height="302" src="https://k12.openstax.org/contents/raise/resources/12cba5171ae37e99a45b15309883f04b1241127f" width="300"></p>
<p>Why does \(f(20) = f(22)\)?</p>
<p>Since section B is not changing, it represents the period of time where the store did not receive new shipments, so \(f(20)=f(22)\).</p>
<h4>Try It: More Real-Life Graphs</h4>
<p>The relationship between Jameson&rsquo;s account balance \(B\), in dollars, and time \(t\), in days, is modeled by the graph below.</p>
<p><img alt="GRAPH THAT SHOWS ACCOUNT BALANCE IN DOLLARS AS A FUNCTION OF TIME IN DAYS. THE X-AXIS GOES FROM 0 TO 14 IN INTERVALS OF 2. THE Y-AXIS GOES FROM 0 TO 100 IN INTERVALS OF 20. THE GRAPH IS CONSTANT FROM X = 0 TO X = 6, INCREASES FROM X = 6 TO X = 9, REACHING A MAXIMUM AT THE POINT (9, 100), AND THEN DECREASES." class="img-fluid atto_image_button_text-bottom" height="302" src="https://k12.openstax.org/contents/raise/resources/3e608acfbdbc5e845f55bd17186a2842d9f2946d" width="300"></p>
<p>What does the point \(B(9)=98\) represent in the context of the problem?</p>
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    <p>Write your answer. Then select the <strong>solution</strong> button to compare your work.
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  <p>Here is how to describe what \(B(9)=98\) represents in the context of the problem:</p>
  <p>\(B(9)=98\) represents the maximum amount of money Jameson had in his account over the time period shown. It also represents that after 9 days, Jameson had $98 in his account. It is the maximum because it is the highest point on the graph provided.</p>
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