Question

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

Answer 1

Answer:

$\frac{g(7)-g(4)}{7-4}=\frac{5}{6}$

So it looks like C.

Step-by-step explanation:

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

$\frac{g(b)-g(a)}{b-a}$.

You can even say:

$\frac{g(a)-g(b)}{a-b}$.

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

$\frac{g(7)-g(4)}{7-4}$

We are given this is equal to 5/6.