Burton travels on cruise control at $50$ mph from 2:00 p.m. until 5:00 p.m. 

1. How far does he travel?

   Step (a):

   $\frac{50\ \text{miles}}{1\ \text{hour}}\cdot \text{hours}\ = \ ?$

2. Sketch a graph of this situation using velocity in miles per hour and time in hours. Shade the area under the curve in the first quadrant. What shape is the shaded region?

3. Explain why the shaded area represents a distance of $150$ miles.

   Hint (c):

   What is the product of the units on the $x$- and $y$-axes?