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

i would say A because it is the only choice that dose not work.

Answer 2

Option A and C are correct.

Explanation:

We are given Scale of drawing a room is
`(1)/(4)\,inch=1\,ft`

Option A).

1 inch = 3 ft.

from given relation,

`3\,ft=3*(1)/(4)=(3)/(4)\,inch`

So, this does not represent a Proportional relationship.

Option B).

2 inch = 8 ft.

from given relation,

`8\,ft=8*(1)/(4)=2\,inch`

So, this represent a Proportional relationship.

Option C).

`(1)/(2)\,inch=2\,ft.`

from given relation,

So, this does not represent a Proportional relationship.

Option D).

`1(1)/(2)\,inch=6\,ft.`

from given relation,

`6\,ft=6*(1)/(4)=(3)/(2)=1(1)/(2)\,inch`

So, this represent a Proportional relationship.

Therefore, Option A and C are correct.