Question

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

Answer 1

Answer:

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.