Question

What is the Average Rate of Change Formula?

Answer 1

Step 1

The average rate of change is the rate at which one value within a function changes in relation to another. The average rate of change is usually used to determine the slope of a graphed function.

The formula for the average rate of change is written as;

Step 2

Consider the question below.

First, we will identify the two points corresponding to the interval

`\begin{gathered} 11=a \\ 15=b \\ 79=f(a) \\ 89=f(b) \\ \text{Average rate of change=}(f(b)-f(a))/(b-a) \\ \text{Average rate of change}=(89-79)/(15-11)=(10)/(4)=(5)/(2) \end{gathered}`