The table below shows the fine for speeding tickets in Houston, Texas depending on the speed of the car.

mph over speed limit 5 9 14 19 29

fine (dollars) 165 180 195 240 265

A:The rate of change is $3.5 per mph and it is a linear function.

b:The rate of change is $3 per mph and it is a linear function.

c:The rate of change is $3.5 per mph and it is a nonlinear function.

d:There is no constant rate of change and hence it is a nonlinear function.

The correct answer is D. There is no constant rate of change and hence it is a nonlinear function.

Step-by-step explanation:

mph over speed limit 5 9 14 19 29

fine (dollars) 165 180 195 240 265

Let's calculate the rate of change, as follows:

For 9 mph over speed limit = (180 - 165) / (9 - 5) = 15/4 = 3.75

For 14 mph over speed limit = (195 - 180) / (14 - 9) = 15/5 = 3

For 19 mph over speed limit = (240 - 195) / (19 - 14) = 45/5 = 9

For 29 mph over speed limit = (265 - 240) / (29 - 19) = 25/10 = 2.5

As we can confirm there isn't a constant rate of change and in consequence, it's a nonlinear function.

The correct answer is D. There is no constant rate of change and hence it is a nonlinear function.