Final answer:
Karl's rate is 4 miles per hour, and if he hikes for 1 hour and 15 minutes, he will cover 5 miles, as distance is directly proportional to the time walked.
Step-by-step explanation:
Karl hikes 3 miles in 45 minutes. To determine how far Karl will hike in 1 hour and 15 minutes when given that his distance m miles is directly proportional to the time he walks, we can set up a proportion based on the information given.
- First, we convert the time Karl walks into hours since we know he walks 3 miles in 45 minutes (0.75 hours).
- Karl's rate is 3 miles per 0.75 hours, which is 4 miles per hour.
- To find out how far he will hike in 1 hour and 15 minutes (1.25 hours), we multiply his hourly rate by 1.25.
Distance = Rate × Time
Distance = 4 miles/hour × 1.25 hours = 5 miles
Therefore, Karl will hike 5 miles in 1 hour and 15 minutes. This answer is reasonable as it aligns with what we would expect when comparing it to his original rate of distance covered over time.