In the scaled down drawing of a sport utility vehicle shown below,1/4 of an inch represents 1/2 of a foot.
What is the unit rate in inches per foot?
A.
1/2 of an inch per foot
B.
1/8 of an inch per foot
C.
1/4 of an inch per foot
D.
2 inches per foot
(1/4 in)/(1/2 ft) = (1/4)/(1/2) in/ft = 1/2 in/ft
thanks oob
To find the unit rate in inches per foot, we need to determine how many inches are equivalent to 1 foot.
In the scaled down drawing, 1/4 of an inch represents 1/2 of a foot. We can simplify the ratio by dividing both the numerator and the denominator by the same number. In this case, we can divide both by 1/2.
(1/4 inch) ÷ (1/2 foot) equals (1/4 inch) × (2 foot/1) which simplifies to 1/2 inch.
Therefore, in the scaled down drawing, 1/2 inch represents 1 foot of the actual size.
So, the unit rate in inches per foot is 1/2 inch per foot.
Therefore, the correct answer is A. 1/2 of an inch per foot.