To convert 100 inches per minute to feet per minute, we need to use the appropriate conversion factor between inches and feet. We know that 1 foot equals 12 inches. Here is the step-by-step solution:
1. Start with the given rate:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}}
\][/tex]
2. We need to convert inches to feet. To do this, we use the conversion factor between inches and feet: 1 foot = 12 inches. This means:
[tex]\[
\frac{1 \text{ foot}}{12 \text{ inches}}
\][/tex]
3. Multiply the given rate by the conversion factor:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}
\][/tex]
Notice that the inches unit will cancel out, leaving us with feet per minute.
4. Simplifying the multiplication:
[tex]\[
\frac{100}{12} \text{ feet per minute}
\][/tex]
5. Calculating the result:
[tex]\[
\frac{100}{12} = 8.333333333333334 \text{ feet per minute}
\][/tex]
Therefore, the correct expression that converts 100 inches per minute to feet per minute is:
\[
\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}
\
