Final answer:
The inequality representing the total distance d that you can run in 2 hours at a speed of no faster than 6.3 miles per hour is d ≤ 12.6 miles.
Step-by-step explanation:
The question is asking to write an inequality representing the possible number of miles d you can run when you run for 2 hours at a speed of no faster than 6.3 miles per hour. Since speed is the rate at which distance is covered per unit of time, we can represent this relationship with the following inequality:
d ≤ 6.3 × 2
Here, 6.3 miles per hour is the maximum speed, and 2 hours is the total time running. Multiplying these together gives us the maximum distance run. The inequality reflects that the actual distance run d will be less than or equal to the product of speed and time.
So the inequality represents that the total distance run d during the 2 hours will be less than or equal to 12.6 miles (d ≤ 12.6).