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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.

Respuesta :

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.

Answer: The correct answer is D. There is no constant rate of change and that means it is a nonlinear function.

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