Question

Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answer 1

Answer: B) 9.6 inches

Explanation:

We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

`\displaystyle (120)/(144) = (8)/(x)`

Cross multiply:

120 * x = 144 * 8

120x = 1,152

Divide both sides of the equation by 120:

x = 9.6

9.6 inches

The height should be B) 9.6 inches.