Question

Paul's car is 18 feet long. Paul is making a model of his car that is 1/6 the actual size. Which proportion should be used to find the length, L, of Paul's model?
A. 6/18 = L/1


B. L/18 = 1/6


C. L/18 = 6/1


D. 18/L = 1/6

Answer 1

To find the length \( L \) of Paul's model car, which is 1/6 the size of the actual car that is 18 feet long, you want to set up a proportion comparing the lengths. The correct proportion will express the relationship between the actual length and the model length as follows:

\[
\frac{L}{18} = \frac{1}{6}
\]

This means that the length of the model \( L \) divided by the actual length of the car (18 feet) is equal to the scale factor (1/6).

Thus, the correct answer is:

**B. \( L/18 = 1/6 \)**