9
QuizMultiple Choice

Slope

Question 9 • Applications and Modeling

You get internet service for a flat rate of $ 16.95 per month regardless of the number of minutes that you spend online. The table shows an example of some cost data.Number of Minutes2000220024002600Monthly Cost (dollars)16.9516.9516.9516.95Does the data represent a linear function? Why or why not?

Answer
A
No, the average rate of change is not constant.
B
No, there is no slope.
C
Yes, the average rate of change is constant.
D
There is not enough information to determine if this is a linear function.

Explanation

A linear function has a constant rate of change. Here, the monthly cost stays at $16.95 as the number of minutes increases, so the rate of change is $0 per minute between every pair of data points. A constant function is linear, so the correct choice is “Yes, the average rate of change is constant.”

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