You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?

StartFraction 1 mile Over 5280 feet EndFraction
StartFraction 60 minutes Over 1 second EndFraction
StartFraction 5280 feet Over 1 mile EndFraction
StartFraction 1 minutes Over 60 seconds EndFraction

1 answer

To convert a speed from miles per minute to feet per minute, you would use the conversion factor that expresses the relationship between miles and feet. Specifically, you want to convert miles into feet.

The conversion factor you would use is:

\[ \frac{5280 \text{ feet}}{1 \text{ mile}} \]

This conversion factor tells you that there are 5280 feet in 1 mile, allowing you to convert miles to feet. Therefore, if you have a speed in miles per minute, you can multiply by this conversion factor to express it in feet per minute.

So, the correct conversion factor is:

\[ \frac{5280 \text{ feet}}{1 \text{ mile}} \]