Anne began her commute home by driving at a constant rate of $30$ mph for $15$ minutes. She then got on the freeway where she drove at a constant rate of $60$ mph for $30$ minutes. She exited the freeway and immediately had to stop and wait for $15$ minutes due to road construction. She then completed her drive home by driving at $30$ mph for $15$ minutes. Her total commute time was $1$ hour $15$ minutes.

1. Sketch two graphs, one to show Anne’s rate over time and one to show the distance she traveled over time.

2. What was the distance of Anne’s commute?

   Step (b):

   $(30)\frac{1}{4} + (60)\frac{1}{2} + (30)\frac{1}{4}=$

3. What was Anne’s average speed?

   Step (c):

   $\frac{\text{distance traveled}}{1.25 \text{ hours}}$