Question

Please please help me

Answer 1

Answer:

?=38

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

Step-by-step explanation:

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

That is, the following are equal:

$\frac{17-5}{2-(-2)}=\frac{26-17}{5-2}$

$\frac{12}{4}=\frac{9}{3}$

$3=3$

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:

$\frac{?-26}{9-5}=3$

$\frac{?-26}{4}=3$

Multiply both sides by 4:

$?-26=12$

Add 26 on both sides:

$?=12+26$

$?=38$