Question

Given the function defined in the table below, find the average rate of change, insimplest form, of the function over the interval 6 < x < 15.f(x)017335653971128915107Thank

Answer 1

To find the average rate of change in a interval

$a\leq x\leq b$

We use the following formula:

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

Applying this to our interval

$6\leq x\leq15$

We have the following rate of change:

$\frac{f(15)-f(6)}{15-6}=\frac{107-53}{9}=\frac{54}{9}=6$

We have an average rate of change equals to 6.