In the scaled down drawing of a sport utility vehicle shown below, of an inch represents of a foot.
What is the unit rate in inches per foot?
A.
2 inches per foot
B.
of an inch per foot
C.
of an inch per foot
D.
of an inch per foot
To find the unit rate in inches per foot, we need to determine how many inches are represented by 1 foot.
The given information tells us that ⅛ of an inch represents ⅛ of a foot in the scaled-down drawing.
To determine the unit rate, we need to divide the amount in inches by the amount in feet.
So, the unit rate in inches per foot is: ⅛ inch / ⅛ foot.
When we simplify this expression, we get 1 inch / 1 foot.
Therefore, the unit rate in inches per foot is 1 inch per foot.
The correct answer is D. 1 inch per foot.
The ratio of inches to feet is given as " of an inch represents of a foot." To find the unit rate in inches per foot, we can simplify this ratio. Let's convert inches to feet by multiplying by 12 (since there are 12 inches in a foot):
( of an inch ) x (12 inches/1 foot) = 12( of an inch )/1 foot
Simplifying, we get:
(12/1)( of an inch )/1 foot = of an inch per foot
Therefore, the unit rate in inches per foot is of an inch per foot.
The answer is C.
To find the unit rate, we need to determine how many inches are represented by one foot in the scaled-down drawing.
The given information states that 1/4 of an inch represents 1/8 of a foot.
To find the unit rate, we divide the number of inches by the number of feet. In this case, we divide 1/4 inch by 1/8 foot:
(1/4 inch) ÷ (1/8 foot) = (1/4 inch) x (8/1 foot) = 2 inches per foot.
Therefore, the correct answer is A. 2 inches per foot.