Question

A drawing of a room has a scale of 1 4 inch = 1 ft. Which choice does NOT represent a proportional relationship, according to the scale? A) 1 inch drawing, 3 feet actual B) 2 inch drawing, 8 feet actual C) 1 2 inch drawing, 2 feet actual D) 1 1 2 inch drawing, 6 feet actual

Answer 1

nr 1 ) 1 inch drawing should be 4 feet actual

Answer 2

A) 1 inch drawing, 3 feet actual.

Explanation:

The given scale is

`(1)/(4)in=1ft`

That is, each foot equals one quarter of an inch. In other words, 1 inch equlas 4 feet, because

`(1)/(4)in=1ft\\ 1in=4ft`

That means, 1 inch drawing represents 4 feet actual. Now, let's see which choice doesn't have this same proportion.

You can observe that option A has a proportion where 1 inch drawing equals 3 feet actual, which is not the same proportion as the given, because the given one is 1 inch drawing equals 4 feet actual.

Therefore, the right answer is A.