Question

Question #a364e

Answer 1

instantaneous rate of change `=20.94`

Explanation:

To find the instantaneous rate of change of f(x) at 3 we first find the average rate of f(x) between x=3 and x=3.5 and the average rate of f(x) between x=2.5 and x=3. Then find the average of the two average rates to get our answer.

That is,
`r_(avg) =(f(3.5)-f(3))/(3.5-3)=(33.12-20.09)/0.5=26.06`

`r_(avg)=(f(3)-f(2.5))/(3-2.5)=(20.09-12.18)/0.5=15.82`

instantaneous rate of change =`(26.06+15.82)/2=20.94`