Question

What is the average rate of change between:

x= 1 and x = 2?
x = 2 and x = 3?
x = 3 and x = 4?

Answer 1

Answer: See bolded below

Explanation:

Average rate of change is the slope. To find that, we would need the equation
`m=(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=(4-2)/(2-1)=(2)/(1) =2`

The average rate of change is 2.

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

`m=(8-4)/(3-2) =(4)/(1) =4`

The average rate of change is 4.

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

`m=(16-8)/(4-3) =(8)/(1) =8`

The average rate of change is 8.