Question

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

Answer 1

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`

Explanation:

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

`m=(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=(-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=(-6-12)/(3-(-6))\\\\m=-2`