Question

1. what is the scale factor if a model of a car is 20 inches long and the actual car is 200 inches long?

a. 1:10
b. 1:20
c. 20 inches
d. 10 inches

Explanation:

Step1: Recall the formula for scale factor

Scale factor = $\frac{\text{Length of model}}{\text{Length of actual object}}$

Step2: Substitute the given values

Here, length of model = $20$ inches and length of actual car = $200$ inches. So, scale factor = $\frac{20}{200}$

Step3: Simplify the fraction

$\frac{20}{200}=\frac{20\div20}{200\div20}=\frac{1}{10}$ which is written as $1:10$

Answer:

A. $1:10$