Question

The graph below describes the distance from home over a period of time. What is the rate of change from 70 seconds to 100 seconds?

Answer 1

According to the given graph, after 70 seconds it ran 40 units of distance, after 100 seconds it ran 160 units of distance. So, the points we are going to use to find the rate of change are: (70, 40) and (100, 160).

Now, we use the following formula.-

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

Replacing the points, we have.

`r=(160-40)/(100-70)=(120)/(30)=4`

Therefore, the rate of change from 70 seconds to 100 seconds is 4.