Question

A toy train car is 6 in. long. If a real train car is 75 ft long, which of the following have the same constant of proportionality as the toy train car to the real train car? Select two that apply.
A
A toy bear is 12 in. tall and a real bear is 12.5 ft tall.

B
A real trailer is 50 ft long and a toy trailer is 9 in. long.

C
Ms. Gomez's house is 37.5 ft tall and a toy house is 3 in. tall.

D
A real trailer is 50 ft long and a toy trailer is 4 in. long.

Answer 1

Answer:

C)Ms. Gomez's house is 37.5 ft tall and a toy house is 3 in. tall and

D)A real trailer is 50 ft long and a toy trailer is 4 in. long

have the same constant of proportanility as the toy train car to the real train car

Step-by-step explanation:

We have been given the length of the toy train which is 6 in.

The length of real train car is 75 ft or 900 in.(1 foot=12 in.)

The ratio of length of toy train carto real train car=$\frac{6}{900} =\frac{2}{300} =\frac{1}{150}$

A. toy bear is 12 in. tall and real bear is 12.5 ft or 150 in tall, the rato of height of toy bear to real bear=$\frac{12}{150}=\frac{4}{50} =\frac{2}{25}$

The ratio is not same as that of toy train to real train

B. toy trailer length=9 in

real trailer length=50x12 in.=600 in

ratio of toy trailer length to real trailer=$\frac{9}{600} =\frac{3}{200}$

It's not the same as that of toy train to real train

C.toy house height=3 in.

Mr. Gomez's house height=37.5x12 in.=450 in.

the ratio of toy house height to real house height=$\frac{3}{450} =\frac{1}{150}$

Which is the same as the ratio of toy train length to real train length

D. toy trailer length=4 in.

real trailer length=50x12 in.=600 in.

ratio of length of toy trailer to real trailer=$\frac{4}{600} =\frac{2}{300} =\frac{1}{150}$

Which is the same as the ratio of toy train length to real train length