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

Rate of change = 6 miles per hour

Explanation:

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

Formula to get the rate of change is,

m =
`(\triangle y)/(\triangle x)`

From the graph attached,

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

Rate of change =
`(y_2-y_2)/(x_2-x_1)`

=
`(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.