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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

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

Answer:

Option A and C are correct.

Step-by-step explanation:

We are given Scale of drawing a room is [tex]\frac{1}{4}\,inch=1\,ft[/tex]

Option A).

1 inch = 3 ft.

from given relation,

[tex]3\,ft=3\times\frac{1}{4}=\frac{3}{4}\,inch[/tex]

So, this does not represent a Proportional relationship.

Option B).

2 inch = 8 ft.

from given relation,

[tex]8\,ft=8\times\frac{1}{4}=2\,inch[/tex]

So, this represent a Proportional relationship.

Option C).

[tex]\frac{1}{2}\,inch=2\,ft.[/tex]

from given relation,

So, this does not represent a Proportional relationship.

Option D).

[tex]1\frac{1}{2}\,inch=6\,ft.[/tex]

from given relation,

[tex]6\,ft=6\times\frac{1}{4}=\frac{3}{2}=1\frac{1}{2}\,inch[/tex]

So, this represent a Proportional relationship.

Therefore, Option A and C are correct.

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