Answer
For the first 4 minutes the student covers 2 miles at a rate of 0.5 miles/minute. The student is at rest for the next 2 minutes and in the last 4 minutes, the student covers 4 miles at a rate of 1 mile/minute.
Work Step by Step
The first segment of the graph goes from point (0,0) to (4,2). The x coordinate is the time and y coordinate is the distance covered. To find the rate calculate the slope using the formula $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. So for these specific points it would be $\frac{2-0}{4-0}$ which equals $\frac{1}{2}$ AKA 0.5
Since the slope of the next two points (4,2) and (6,2) is equal to 0 the student is at rest.
To find the rate of the last segment use the slope formula with the given points (6,2) and (10,6). $\frac{6-2}{10-6}$ which equals , so 1 mile/minute.
