To convert 100 inches per minute to feet per minute, we need to use the relationship between inches and feet. Specifically, we know that 1 foot is equal to 12 inches. Therefore, to convert inches to feet, we divide the number of inches by 12.
Step-by-step solution:
1. We start with the given rate of 100 inches per minute.
2. To convert inches to feet, we need to use the conversion factor [tex]\(\frac{1 \text{ foot}}{12 \text{ inches}}\)[/tex].
3. Therefore, we multiply the rate by this conversion factor:
[tex]\[
\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}
\][/tex]
4. When we multiply, the inches unit cancels out, and we are left with feet per minute:
[tex]\[
\frac{100}{12} \text{ feet per minute}
\][/tex]
5. Simplifying [tex]\(\frac{100}{12}\)[/tex]:
[tex]\[
\frac{100}{12} = 8.333333333333334 \text{ feet per minute}
\][/tex]
Therefore, the correct expression to convert 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]
