Answer:
Therefore, the rate is approximately 240 miles per hour.
Step-by-step explanation:
To find the rate in miles per hour, we need to convert the given distance of 4 1/2 miles and the time of 2 1/4 minutes into the same units.
Step 1: Convert the time to hours:
2 1/4 minutes can be written as 2.25 minutes. To convert this to hours, we divide by 60 since there are 60 minutes in an hour:
2.25 minutes ÷ 60 = 0.0375 hours
Step 2: Calculate the rate in miles per hour:
Rate = Distance ÷ Time
Rate = 4 1/2 miles ÷ 0.0375 hours
To simplify the calculation, let's convert the mixed number 4 1/2 to an improper fraction:
4 1/2 = 9/2
Rate = 9/2 miles ÷ 0.0375 hours
To divide fractions, we multiply by the reciprocal of the divisor:
Rate = (9/2 miles) × (1 ÷ 0.0375 hours)
Calculating this expression:
Rate = (9/2) × (1 ÷ 0.0375) ≈ 240 miles per hour
Therefore, the rate is approximately 240 miles per hour.