Question

Question 24:Use the following graph to find the average rate of change.

Answer 1

Step 1

State the formula for the rate of change

`slope(m)=(rise)/(run)=(y_2-y_1)/(x_2-x_1)`

where;

`\begin{gathered} y_2=5 \\ y_1=3 \\ x_2=2 \\ x_1=1 \end{gathered}`

Step 2

Find the rate of change by substitution

`Rate\text{ of change=}(5-3)/(2-1)=(2)/(1)=2`

Hence, the average rate of change is 2

Answer; 2