** Definition of Rate of Change**

- The ratio of the change in the output value and change in the input value of a function is called as Rate of Change.

**More about Rate of Change**

- Slope of a line or linear function represents the rate of change.
- Rate of change of velocity is known as acceleration.

**Example of Rate of Change**

- The graph indicates an amount of $10 increase for every additional hour after 8 hours, so rate of change after 8 hours is $10.

**Solved Example on Rate of Change**

Find the rate of change in the table.

Choices:

A. 5

B. 2

C. 1

D. 0.5

Correct Answer: A

Solution:

Step 1:Rate of change = =

Step 2:=

Step 3:= 5

Step 4:So, the rate of change is 5.

**Related Terms for Rate of Change**

- Function
- Line
- Rate
- Ratio
- Slope