Question

The average rate of change of g(x) between x = 4 and x = 7 is 5/6. Which statement must be true?

A. g(7)-g(4)=5/6
B. g(7-4)/7-4=5/6
C. g(7)-g(4)/7-4=5/6 D. g(7)/g(4)=5/6

Answer 1

Its C

Explanation:

Answer 2

`(g(7)-g(4))/(7-4)=(5)/(6)`

So it looks like C.

Explanation:

Average rate of a function g(x) on the interval from x=a to x=b is given by the formula:

`(g(b)-g(a))/(b-a)`.

You can even say:

`(g(a)-g(b))/(a-b)`.

So we have from x=4 to x=7, so the formula becomes:

`(g(7)-g(4))/(7-4)`

We are given this is equal to 5/6.