To find the total number of miles Hayden biked, we need to correctly interpret the situation:
Hayden rode his bike 5 times on paths of different lengths:
- Twice on a 3-mile path
- Twice on a 2-mile path
- Once on a 2 1/4-mile path
Therefore, we can write the total distance as:
Total Distance = 5 x (3 + 2 + 2 1/4)
This simplifies to 5 times the sum of the lengths of the paths he rode.
Thus, the correct expression that represents the total number of miles he biked is:
A: 5 x (3 + 2 + 2 1/4)