which expression converts 100 inches per minute to feet per minute?\n\\(\\frac{100\\text{ inches}}{1\\text{…

which expression converts 100 inches per minute to feet per minute?\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{60\\text{ minutes}}{1\\text{ hour}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{1\\text{ hour}}{60\\text{ minutes}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{1\\text{ foot}}{12\\text{ inches}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{12\\text{ inches}}{1\\text{ foot}}\\)

which expression converts 100 inches per minute to feet per minute?\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{60\\text{ minutes}}{1\\text{ hour}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{1\\text{ hour}}{60\\text{ minutes}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{1\\text{ foot}}{12\\text{ inches}}\\)\n\\(\\frac{100\\text{ inches}}{1\\text{ minute}}\\times\\frac{12\\text{ inches}}{1\\text{ foot}}\\)

Answer

Answer:

C. $\frac{100\text{ inches}}{1\text{ minute}}\times\frac{1\text{ foot}}{12\text{ inches}}$

Explanation:

Step1: Recall conversion factor

1 foot = 12 inches.

Step2: Analyze unit - conversion

To convert inches per minute to feet per minute, we need to cancel out the inches unit. We multiply by the conversion factor $\frac{1\text{ foot}}{12\text{ inches}}$ because when we multiply $\frac{100\text{ inches}}{1\text{ minute}}$ by $\frac{1\text{ foot}}{12\text{ inches}}$, the inches units cancel out ($\text{inches}\times\frac{\text{foot}}{\text{inches}}$), and we are left with $\frac{100}{12}\text{ feet per minute}$. The other options A and B involve conversion of time (from minutes to hours and vice - versa) which is not relevant for this conversion from inches per minute to feet per minute, and option D has the conversion factor in the wrong order as it would result in $\text{inches}^2\text{ per foot - minute}$ instead of feet per minute.