Question

Paul is driving his car. At the end of two hours he has driven 68 miles, then at the end of 4 hours he has driven 132 miles. What is his average rate of change?_(blank)_miles per hourType your numerical answer below.

Answer 1

This problem describes two points in a route of 4 hours. He went through 68 miles after the first two hours, and 132 miles after 4 hours of driving. We need to calculate the average rate of change.

The average rate of change is the division between the total distance and the time it took to travel that distance, so we have:

$r=\frac{132}{4}=33\text{ miles per hour}$

The average rate of change is equal to 33 miles per hour.