Answer: the average rate of change is 4.
Step-by-step explanation:
The average rate of change is the slope. Therefore, you must use the following formula for calculate the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
As you can see in the table, when x=5, y=-2 and when x=9, y=14. Then the points you must substitute into the formula are:
(5,-2) and (9,14)
Then, you obtain:
[tex]m=\frac{14-(-2)}{9-5}=4[/tex]
