Question

18. MODEL TRAINS A popular scale for model trains is the 1:48 scale. If the actual train car had a length of 72 feet, find the corresponding length of the model in inches.

Answer 1

Answer: 18 inches

Step by step explanation:

A scale factor compares scales dimension to actual dimension.

`\frac{scale}{\text{actual}}`

If we have a scale factor of 1:48, written as a proportion 1/48.

Actual length = 72 feet

`\frac{scale}{\text{actual}}=(1)/(48)`

Plugin the actual length, to find the length of the model:

`\begin{gathered} \frac{\text{ model length}}{\text{7}2}=(1)/(48) \\ \text{ model length}=(72)/(48)=(3)/(2)_{}=1.5 \end{gathered}`

Model length = 1.5 Feet

Converted to inches (1 foot is equal to 12 inches) is:

`1.5\text{ Ft}*\frac{12\text{ inches}}{1Ft}=18\text{ inches}`