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

$slope(m)=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

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

$Rate\text{ of change=}\frac{5-3}{2-1}=\frac{2}{1}=2$

Hence, the average rate of change is 2

Answer; 2