Question

What is the rate of change for both of these tables. 25 pts

Answer 1

Answer:

For the table on the left the rate of change is  $22.8$

For the table on the left the rate of change is $-2$

Step-by-step explanation:

The range of change is the slope. The slope can be found with the following formula:

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

For the table on the left

Choose two points. In this case you can choose (-1,-24), (4,90)

You can say that:

$y_2=-24\\y_1=90\\\\x_2=-1\\x_1=4$

Substituting these values into the formula, you get:

$m=\frac{-24-90}{-1-4}\\\\m=22.8$

For the table on the right

Choose two points. You can choose (3,-6), (-6,12)

You can identify that:

$y_2=-6\\y_1=12\\\\x_2=3\\x_1=-6$

Substituting these values into the formula, you get:

$m=\frac{-6-12}{3-(-6)}\\\\m=-2$