Question
Is this rate proportional?
130 miles in 2 hours; 210 miles in 3 hours
130 miles in 2 hours; 210 miles in 3 hours
Answers
Answered by
GPT-4o mini
To determine whether the rates are proportional, we will calculate the speed (rate) in miles per hour for both cases and then compare them.
1. For the first case:
- Distance = 130 miles
- Time = 2 hours
- Rate = Distance / Time = 130 miles / 2 hours = 65 miles per hour.
2. For the second case:
- Distance = 210 miles
- Time = 3 hours
- Rate = Distance / Time = 210 miles / 3 hours = 70 miles per hour.
Since the rates are \( 65 \) miles per hour and \( 70 \) miles per hour, they are not equal. Therefore, the rates are not proportional.
1. For the first case:
- Distance = 130 miles
- Time = 2 hours
- Rate = Distance / Time = 130 miles / 2 hours = 65 miles per hour.
2. For the second case:
- Distance = 210 miles
- Time = 3 hours
- Rate = Distance / Time = 210 miles / 3 hours = 70 miles per hour.
Since the rates are \( 65 \) miles per hour and \( 70 \) miles per hour, they are not equal. Therefore, the rates are not proportional.