Question

The graph below shows the price charged by a small-engine repair company for repairing lawn mowers. What is the rate of change?

Answer 1

To find the rate of change

Simply calculate the slope of the line

From the graph the two points are given

`(0,0),(5,150)`

The slope of the line can be calculated using

`m=(y_2-y_1)/(x_2-x_1)`

Where m is the slope of the line

From the given points

`\begin{gathered} x_1=0,x_2=5 \\ y_1=0,y_2=150 \end{gathered}`

Substitute the values into the equation

This gives

`m=(150-0)/(5-0)`

Simplify further

`\begin{gathered} m=(150)/(5) \\ m=30 \end{gathered}`

Since the slope og the line is 30

This implies that the rate of change is $30