Answer:
The rate of change = 3
Explanation:
The rate of change is also known as the slope of the line.
It can be calculated using the following rule:
slope = [tex] \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
We need to get the rate of change on the interval [-3,4]
From the table given, we can get our points as follows:
First point is (-3,6) representing (x₁,y₁)
Second point is (4,27) representing (x₂,y₂)
Substitute with these points in the above equation to get the rate of change (slope) as follows:
slope = [tex] \frac{27-6}{4--3} = 3[/tex]
Hope this helps :)