Question

Which formula gives the average rate of change of f(x) over the interval [8, 12]?

A:f(8)-f(12)/12-8
B:f(12)-f(8)/8-12
C:f(12)-f(8)/12-8
D:f(12)-f(8)

Answer 1

B is the answer to this question.

Answer 2

The correct option is C.

Explanation:

The average rate of change of f(x) over the interval [a, b] is defined as

`m=(f(b)-f(a))/(b-a)`

Substitute a=8 and b=12 in the above formula to find the average rate of change of f(x) over the interval [8, 12].

`m=(f(12)-f(8))/(12-8)`

The average rate of change of f(x) over the interval [8, 12] is
`m=(f(12)-f(8))/(12-8)`.

Therefore the correct option is C.