Question

6. Blake plans to walk between 10 mi and 15 mi a week. He walks at a rate of 5 mph., Write, solve, and

graph an inequality to model how many hours Blake will be walking. (3 pt)

Answer 1

2 ≤ x ≤ 3 where x represents the number of hours walking

Explanation:

The distance to walk in miles can be modeled as the following inequality

Let x represent the number of hours Blake will be walking.

To cover 10 mi at 5 mph, Blake will take 10/5 = 2 hours
To cover 15 mi at 5 mph, Blake will take 15 /5 = 3 hours

The actual number of hours walked must lie within these limits

So

2 ≤ x ≤ 3 where x represents the number of hours walking