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 $\dfrac{real}{toy} =\dfrac{75}{6} =\dfrac{25}{2}$.

Find ratios in all options:

A. $\dfrac{real}{toy} =\dfrac{12.5}{12} =\dfrac{25}{24}$ (incorrect).

B. $\dfrac{real}{toy} =\dfrac{50}{9}$ (incorrect).

C. $\dfrac{real}{toy} =\dfrac{37.5}{3} =\dfrac{125}{10} =\dfrac{25}{2}$ (correct).

D. $\dfrac{real}{toy} =\dfrac{50}{4} =\dfrac{25}{2}$ (correct).

Answer: correct choices are C and D.