A marathon runner runs a $26.2$-mile race. Her distance traveled in miles at time $t$ hours is $p(t) = 7t$.

1. How long did it take her to finish the race?

   Hint (a):

   $26.2 = p(t)$
   Solve for $t$.

2. What was her average velocity? Explain your reasoning.

   Hint (b):

   $\text{average velocity }= \frac{\Delta \text{ distance}}{\Delta \text{time}}$
   Evaluate and explain.

3. Suppose she runs at a constant pace of $7$ miles/hour. How far will she have gone in $2$ hours?

   Hint (c):

   $\text{velocity }= \frac{\text{ distance}}{ \text{time}}$
   Evaluate.

4. Show how the units reduce using rate $·$ time $=$ distance.