QuestionWhich expression converts 100 inches/min to feet/min? Consider the options involving unit conversions.

Studdy Solution

STEP 1

Assumptions1. The given speed is100 inches per minute. We need to convert this speed to feet per minute3. There are12 inches in a foot

STEP 2

To convert inches to feet, we need to divide the number of inches by the number of inches in a foot. $\frac{Inches}{1\, minute} \times \frac{1\, foot}{12\, inches}$

STEP 3

Now, plug in the given values for the speed in inches per minute.
$\frac{100\, inches}{1\, minute} \times \frac{1\, foot}{12\, inches}$

STEP 4

Perform the multiplication. The inches unit in the numerator and denominator will cancel out, leaving us with the speed in feet per minute.
$\frac{100\, inches}{1\, minute} \times \frac{1\, foot}{12\, inches} = \frac{100\, feet}{12\, minutes}$

STEP 5

implify the expression to find the speed in feet per minute.
$\frac{100\, feet}{12\, minutes} = \frac{25}{3}\, feet/minute \approx8.33\, feet/minute$ So, the expression that converts100 inches per minute to feet per minute is $\frac{100\, inches}{1\, minute} \times \frac{1\, foot}{12\, inches}$ .

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