Question

Can anyone solve ? This one is beyond me

Answer 1

`Rate = 0.13`

Explanation:

Given

`y = \sqrt[3] x`

Required

Determine the average rate of change over [2,7]

This is calculated as:

`Rate = (f(b) - f(a))/(b - a)`

In this case:

`b = 7` and
`a = 2`

So, we have:

`Rate = (f(7) - f(2))/(7-2)`

`Rate = (f(7) - f(2))/(5)`

From the table:

f(7) = 1.91

f(2) = 1.26

`Rate = (1.91 - 1.26)/(5)`

`Rate = (0.65)/(5)`

`Rate = 0.13`