Question

The table shows values of of a function F(x). What is the average rate of change F(x) over the interval from X = 5 to x = 9? Show your work

Answer 1

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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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:

$m=\frac{14-(-2)}{9-5}=4$