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<p dir="ltr">Complete the following questions to practice the skills you have learned in this lesson.</p>
<br>
<p>For questions 1 - 4, use the following scenario.
</p>
<blockquote>The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function.</blockquote>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="6df121e7-51aa-4230-bf3e-33db6d202cd7" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="e3163c09-c634-4311-89e2-ed8c7dcc3542" data-problem-type="dropdown" data-retry-limit="1" data-solution="Amount of time car is parked" data-solution-options='["Amount of time car is parked", "Cost of parking"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent">
<li>Identify the independent variable in this function.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The independent variable is the amount of time the car is parked.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.1–4.1.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the independent variable is the amount of time the car is parked. </p>
</div>
</div>
<div class="os-raise-ib-pset-problem" data-content-id="be076c59-d230-4f6e-a5a8-03de829c3408" data-problem-type="dropdown" data-retry-limit="1" data-solution="Cost of parking" data-solution-options='["Amount of time car is parked", "Cost of parking"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="2">
<li>Identify the dependent variable in this function.</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The dependent variable is the cost of parking.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.1–4.1.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the dependent variable is the amount of time the car is parked. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q1b-->
<div class="os-raise-ib-pset-problem" data-content-id="bfc1ddc2-5d64-452b-8cdb-f5d438a665d5" data-problem-type="dropdown" data-retry-limit="1" data-solution="The cost of parking is a function of the amount of time a car is parked." data-solution-options='["The amount of time a car is parked is a function of the cost of parking.", "The cost of parking is a function of the amount of time a car is parked."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li>Correctly describe the function with a sentence of the form “___ is a function of ___ .”<br>
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The cost of parking is a function of the amount of time a car is parked.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.1-4.1.5. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The cost of parking is a function of the amount of time a car is parked. </p>
</div>
</div>
<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 -->
</div>
</div>
<!-- New pset with 3 attemps -->
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="f454252c-7da7-438a-8dd4-be91cfba4052" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--END QUESTION.-->
<!--Q1bb-->
<div class="os-raise-ib-pset-problem" data-content-id="90dae51d-bab9-48b6-8f3f-2591b15904e4" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="2 hours of parking costs a total of $6" data-solution-options='["2 hours of parking costs $6 per hour", "6 hours of parking cost $2 per hour", "2 hours of parking costs a total of $6", "6 hours of parking costs a total of $2"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>Suppose it costs $3 per hour to park, with a maximum cost of $12. Here is a graph of the situation.</li>
<br><img alt class="img-fluid atto_image_button_text-bottom" height="298" role="presentation" src="https://k12.openstax.org/contents/raise/resources/25e5503db717b9e7113c3af27bc4b60c4bb4b73a" width="300"><br>
<p>What does the point \((2,6)\) mean in this situation?</p>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! 2 hours of parking costs a total of $6.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.1–4.1.5. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is 2 hours of parking costs a total of $6. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="ac4763ea-4ee2-457d-9d97-810c889f21cf" data-problem-type="multiselect" data-solution='["Time since the person starts walking is the input.", "t represents the input."]' data-solution-options='["Distance is the input.", "Time of day is the input.", "Time since the person starts walking is the input.", "t represents the input.", "d represents the input.", "The input is not measured in any particular unit.", "The input is measured in hours.", "For each input, there are sometimes two outputs."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>The distance a person walks, \(d\), in kilometers, is a function of time, \(t\), in minutes, since the walk began.<br><br>
Select the <strong>two statements</strong> about the input value of this function.
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Time since the person started walking is the input; \(t\) represents the input.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.3–4.1.4. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answers are: Time since the person started walking is the input; \(t\) represents the input. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="a9b84d60-438d-4247-acdd-690abbfaa3a6" data-problem-type="dropdown" data-retry-limit="1" data-solution="No" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li>Determine if the following relation is a function.
<br>
{\((27,−3),(8,−2),(1,−1),(0,0),(1,1),(8,2),(27,3)\)}
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! No, For the following reasons:</p>
<ul>
<li>Since the input value 1 goes to both –1 and 1, this relation is not a function.</li>
<li>Since the input value 27 goes to both -3 and 3, this relation is not a function. </li>
<li>Since the input value 8 goes to both -2 and 2, this relation is not a function.</li>
</ul>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 4.1.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: No. Since the input value 1 goes to both –1 and 1, this relation is not a function. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="57e4d49e-9060-4dfc-a5b8-34c9a88877ab" data-problem-type="dropdown" data-retry-limit="1" data-solution="No" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li>Is the following relation a function? Explain your answer.<br>
<img alt="This figure shows two table that each have one column. The table on the left has the header “Name” and lists the names “Neal”, “Krystal”, “Kelvin”, “George”, “Christa”, and “Mike”. The table on the right has the header “Phone number” and lists the numbers “123-567-4389 work”, “231-378-5941 cell”, “753-469-9731 cell”, “567-534-2970 work”, “684-369-7231 cell”, “798-367-8541 cell”, and “639-847-6971 cell”. There are arrows that start at a name and points toward a number in the phone number table. The first arrow goes from Neal to 753-469-9731 cell. The second arrow goes from Krystal to a 684-369-7231 cell. The third arrow goes from Kelvin to 231-378-5941 cell. The fourth arrow goes from George to 123-567-4389 work. The fifth arrow goes from George to 639-847-6971 cell. The sixth arrow goes from Christa to 567-534-2970 work. The seventh arrow goes from Mike to 567-534-2970 work. The eighth arrow goes from Mike to 798-367-8541 cell." src="https://k12.openstax.org/contents/raise/resources/ba119f3829ed1c6ac115b2828bcd349040f3e4e8">
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! No, this relation is not a function. Since both George and Mike are mapped to two different phone numbers, every input does not have exactly one output value.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activities 4.1.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: No, this relation is not a function. Since both George and Mike are mapped to two different phone numbers, every input does not have exactly one output value. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="76cceca0-7dcb-4087-9dd4-4feff6f13cb3" data-problem-type="dropdown" data-retry-limit="1" data-solution="Yes" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li>Determine if the following relation is a function.
<br>
{\((7,−3),(−5,−4),(8,0),(0,0),(−6,4),(−2,2),(−1,3)\)}
</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! This relation is a function. Every input has exactly one output value</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 4.1.3. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: This relation is a function. Every input has exactly one output value. </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 -->
</div>
</div>