Answered

Which expression converts 100 inches per minute to feet per minute?

A. [tex]\(\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}\)[/tex]

B. [tex]\(\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ hour}}{60 \text{ minutes}}\)[/tex]

C. [tex]\(\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}\)[/tex]

D. [tex]\(\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{12 \text{ inches}}{1 \text{ foot}}\)[/tex]



Answer :

GinnyAnswer
To convert 100 inches per minute to feet per minute, we need to use the appropriate conversion factor. The conversion factor between inches and feet is:

[tex]\[ 1 \text{ foot} = 12 \text{ inches} \][/tex]

We will utilize this conversion factor to convert inches to feet.

Given the initial measurement:

[tex]\[ \frac{100 \text{ inches}}{1 \text{ minute}} \][/tex]

We multiply this by the conversion factor that will convert inches to feet:

[tex]\[ \frac{1 \text{ foot}}{12 \text{ inches}} \][/tex]

Now, let's combine these fractions:

[tex]\[ \frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}} \][/tex]

When you multiply these fractions, the "inches" units cancel out, and you end up with:

[tex]\[ \frac{100 \times 1 \text{ foot}}{1 \times 12 \text{ minutes}} = \frac{100 \text{ feet}}{12 \text{ minutes}} \][/tex]

This simplifies to:

[tex]\[ \frac{100 \text{ feet}}{12 \text{ minutes}} = 8.333333333333334 \text{ feet per minute} \][/tex]

Therefore, the correct expression that converts 100 inches per minute to feet per minute is:

[tex]\[ \frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}} \][/tex]

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