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Question

01:43

Question
Which situation is NOT an example of a linear function?
Responses
A The distance traveled if a car is driving at a constant rate of 60 miles per hour.The distance traveled if a car is driving at a constant rate of 60 miles per hour.
B The cost of the bill if a cell phone company charges an initial fee of $25 plus $45 per month.The cost of the bill if a cell phone company charges an initial fee of $25 plus $45 per month.
C The amount of cake each person gets to eat if a cake is divided equally among the guests at a party.The amount of cake each person gets to eat if a cake is divided equally among the guests at a party.
D The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.

Answer 1

The situation that is NOT an example of a linear function is:

D. The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.

This is because the time spent grading papers involves a non-linear situation due to the breaks; the time taken does not increase linearly with the number of papers graded since there are breaks that interrupt the grading process. In contrast, options A, B, and C describe scenarios where there is a direct proportional relationship, characteristic of linear functions.