Question

What is the average rate of change between:

Answer 1

Answer: See bolded below

Step-by-step explanation:

Average rate of change is the slope. To find that, we would need the equation $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$.

Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.

1. The coordinate points are (1, 2) and (2, 4).

$m=\frac{4-2}{2-1}=\frac{2}{1} =2$

The average rate of change is 2.

2. The coordinate points are (2, 4) and (3, 8).

$m=\frac{8-4}{3-2} =\frac{4}{1} =4$

The average rate of change is 4.

3. The coordinates are (3, 8) and (4, 16).

$m=\frac{16-8}{4-3} =\frac{8}{1} =8$

The average rate of change is 8.