Question

Please please help me

Answer 1

?=38

average rate of change =3 (on the way they partitioned the x's)

Explanation:

This is a line because it has the same rise/run (
`(y_2-y_1)/(x_2-x_1)`) per pair of points.

That is, the following are equal:

`(17-5)/(2-(-2))=(26-17)/(5-2)`

`(12)/(4)=(9)/(3)`

`3=3`

The slope (also called the rate of change) is 3.

This means the calculating of the last pair of points should have the same rise/run.

That is we should have:

`(?-26)/(9-5)=3`

`(?-26)/(4)=3`

Multiply both sides by 4:

`?-26=12`

Add 26 on both sides:

`?=12+26`

`?=38`