AnswersAlgebra IAnalyzing Functional Relationships — QuizQuestion 7
7
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Analyzing Functional Relationships — Quiz

Question 7 • Algebra I

In order to set a staff schedule, a fast-food restaurant manager looks at the average rate of customers served per minute during a lunch service. The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline. Which graph models the trend the manager notices?

Answer
A
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 0 to 0.5 comma 1.5 to 2 comma 1.5 to 4 comma 0.
B
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 0 to 2 comma 1.5 to 3.5 comma 1.5 to 4 comma 0.
C
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 1.75 to 1.5 comma 1 to 3 comma 1 to 4 comma 2.5.
D
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 3.5 to 0.5 comma 2 to 2 comma 2 to 4 comma 4.

Explanation

The trend should rise sharply at first, stay level at its maximum, and then decline gradually. In choice A, the graph rises from (0, 0) to (0.5, 1.5), stays flat until (2, 1.5), and then slopes down gradually to (4, 0). Choice B has the same general pattern, but its initial increase is more gradual and its decline is sharper.

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