Final answer:
Using the constant ratio of miles to minutes that Kay initially set, we can calculate that she will run 12 miles in one and a half hours.
Step-by-step explanation:
To calculate how many miles Kay will run in one and a half hours, we must first understand the ratio of miles to minutes is constant. Kay initially ran 2 miles in 15 minutes. To find out her speed in miles per minute, we divide the number of miles by the number of minutes:
- Speed = 2 miles / 15 minutes = 0.1333... miles per minute.
- One and a half hours is equivalent to 90 minutes (1.5 hours x 60 minutes/hour).
- To find out how many miles Kay will run in 90 minutes, we multiply her speed by the number of minutes:
Distance = Speed x Time
Distance = 0.1333... miles/minute x 90 minutes - Distance = 12 miles
Kay will run 12 miles in one and a half hours given the constant speed.