Answer:
[tex]Rate = 0.13[/tex]
Step-by-step explanation:
Given
[tex]y = \sqrt[3] x[/tex]
Required
Determine the average rate of change over [2,7]
This is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]b = 7[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]Rate = \frac{f(7) - f(2)}{7-2}[/tex]
[tex]Rate = \frac{f(7) - f(2)}{5}[/tex]
From the table:
f(7) = 1.91
f(2) = 1.26
[tex]Rate = \frac{1.91 - 1.26}{5}[/tex]
[tex]Rate = \frac{0.65}{5}[/tex]
[tex]Rate = 0.13[/tex]
