Answer: See bolded below
Step-by-step explanation:
Average rate of change is the slope. To find that, we would need the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
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).
[tex]m=\frac{4-2}{2-1}=\frac{2}{1} =2[/tex]
The average rate of change is 2.
2. The coordinate points are (2, 4) and (3, 8).
[tex]m=\frac{8-4}{3-2} =\frac{4}{1} =4[/tex]
The average rate of change is 4.
3. The coordinates are (3, 8) and (4, 16).
[tex]m=\frac{16-8}{4-3} =\frac{8}{1} =8[/tex]
The average rate of change is 8.
