Which situation is NOT an example of a linear function?

Question

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.

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 situation involves breaks, which introduces a non-linear aspect to the time calculation. The total time spent will not simply increase linearly with the number of papers graded; rather, it will involve adding fixed breaks, making the relationship between the number of papers and the total time non-linear. In contrast, the other options describe scenarios with a direct proportional relationship, characteristic of linear functions.