Answer:
For the table on the left the rate of change is [tex]22.8[/tex]
For the table on the left the rate of change is [tex]-2[/tex]
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the table on the left
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
[tex]y_2=-24\\y_1=90\\\\x_2=-1\\x_1=4[/tex]
Substituting these values into the formula, you get:
[tex]m=\frac{-24-90}{-1-4}\\\\m=22.8[/tex]
For the table on the right
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
[tex]y_2=-6\\y_1=12\\\\x_2=3\\x_1=-6[/tex]
Substituting these values into the formula, you get:
[tex]m=\frac{-6-12}{3-(-6)}\\\\m=-2[/tex]
