Question

How do you find the average rate of change of `C(x) =x^2 + 7` over the interval [1,4]?

Answer 1

The average rate of change is `5`

Explanation:

Average rate of change in given by `A = (f(b) - f(a))/(b - a)`

`A = (C(4) - C(1))/(4 - 1)`

`A = (4^2 + 7 - (1^2 + 7))/3`

`A = (23 - 1 - 7)/3`

`A = 15/3`

`A = 5`

Therefore, the average rate of change is `5`.

Hopefully this helps!