During his $30$-minute trip to work, Mr. Molinari travels with a velocity of $v(t) = 35 + 30t$ where $t$ is measured in hours and $v(t)$ in miles per hour.

1. Sketch a graph of this scenario.

   Hint (a):

   Be sure to label your axes, so you remember that this is a velocity graph.

2. What are his maximum and minimum rates?

   Hint (b):

   mph is a rate.

3. How far from work does Mr. Molinari live?

   Hint (c):

   Recall that this is a rate graph.