Question

The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it represent?

Answer 1

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = $\frac{\triangle y}{\triangle x}$

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = $\frac{y_2-y_2}{x_2-x_1}$

                          = $\frac{24-12}{4-2}$

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.