what is the rate of change of the function represented by the table?\n| x | y |\n|----|----|\n| 1 | -8.5…

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) of a function between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take $(x_1,y_1)=(1, - 8.5)$ and $(x_2,y_2)=(2,-6)$.

Step3: Calculate the rate of change

$m=\frac{-6-(-8.5)}{2 - 1}=\frac{-6 + 8.5}{1}=\frac{2.5}{1}=2.5$.

Answer:

D. 2.5