Question

A toy train car is 6in.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 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 37.5ft 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

A toy train and a real train are similar shapes, then their dimensions are proportional. The ratio is
`(real)/(toy) =(75)/(6) =(25)/(2)`.

Find ratios in all options:

A.
`(real)/(toy) =(12.5)/(12) =(25)/(24)` (incorrect).

B.
`(real)/(toy) =(50)/(9)` (incorrect).

C.
`(real)/(toy) =(37.5)/(3) =(125)/(10) =(25)/(2)` (correct).

D.
`(real)/(toy) =(50)/(4) =(25)/(2)` (correct).

Answer: correct choices are C and D.