Question

Can anyone solve ? This one is beyond me

Answer 1

Answer:

$Rate = 0.13$

Step-by-step explanation:

Given

$y = \sqrt[3] x$

Required

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

This is calculated as:

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

In this case:

$b = 7$ and $a = 2$

So, we have:

$Rate = \frac{f(7) - f(2)}{7-2}$

$Rate = \frac{f(7) - f(2)}{5}$

From the table:

f(7) = 1.91

f(2) = 1.26

$Rate = \frac{1.91 - 1.26}{5}$

$Rate = \frac{0.65}{5}$

$Rate = 0.13$