To convert 100 inches per minute to feet per minute, we need to use the correct conversion factor between inches and feet. We know that 1 foot is equivalent to 12 inches. Therefore, we need to convert inches to feet by dividing the number of inches by 12.
The correct expression for converting inches to feet is:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}
\][/tex]
Let's break this down:
1. Start with the given rate:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}}
\][/tex]
2. Multiply by the conversion factor that converts inches to feet:
[tex]\[
\frac{1 \text{ foot}}{12 \text{ inches}}
\][/tex]
When you multiply the two fractions, the inches units cancel out, and you are left with feet per minute:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{100 \div 12 \text{ feet}}{1 \text{ minute}} = 8.333333333333332 \text{ feet per minute}
\][/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]
This corresponds to the option:
[tex]\(\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}\)[/tex]
