Question

Calculate the rate of change for the following data:

Answer 1

Given:

The table of values.

To find:

The rate of change.

Solution:

From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is

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

$m=\dfrac{-4-5}{2-(-1)}$

$m=\dfrac{-9}{2+1}$

$m=\dfrac{-9}{3}$

$m=-3$

So, the rate of change is -3.

Therefore, the correct option is C.