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

Answer:

The correct option is C.

Step-by-step explanation:

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

$m=\frac{f(b)-f(a)}{b-a}$

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].

$m=\frac{f(12)-f(8)}{12-8}$

The average rate of change of f(x) over the interval [8, 12] is $m=\frac{f(12)-f(8)}{12-8}$.

Therefore the correct option is C.