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Chapter 2: Q23. (page 94)

For Exercise 22 and 23, use the following information.

Sarah has a long-distance telephone plan where she pays 10 cent for each minute or part of a minute that she talks, regardless of the time of day.

23. Sarah made a call to her brother that lasted 9 minutes and 40 seconds. How much did the call cost?

Short Answer

Expert verified

The call cost 100 cents.

Step by step solution

01

Step-1 – Step function.

The graph of a step function contains all constant pieces, and these pieces are observed across the adjacent intervals of the function. Their values change form one interval to another.

02

Step-2 – Determine the cost function.

It is given that she pays 10 cents for each minute, and she made a call to her brother that lasted 9 minutes and 40 seconds.

Since the call rounds to the next whole number, thus, duration of call is 10 minutes.

Therefore, the call cost function is f(x)=10x

03

Step-3 – Put the value of x into the cost function.

Put 10 for x into the function f(x)=10x.

f(x)=10(10)f(x)=100

Thus, the call cost is 100 cents.

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