Question

Whats the average rate of change of h over the interval 5 ≤ t ≤ 9?

Answer 1

Given:

The graph of a function.

To find:

The average rate of change of h over the interval
`5\leq t\leq 9`.

Solution:

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

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

So, the average rate of change of h over the interval
`5\leq t\leq 9` is:

`m=(h(9)-h(5))/(9-5)`

From the given graph it is clear that
`h(9)=7,h(5)=3`. Substituting these values, we get

`m=(7-3)/(9-5)`

`m=(4)/(4)`

`m=1`

Therefore, the average rate of change of h over the interval
`5\leq t\leq 9` is 1.