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

Explanation:

Step1: Recall the formula for scale factor

The scale factor is the ratio of the length of the model to the length of the actual object.
$$\text{Scale factor}=\frac{\text{Length of model}}{\text{Length of actual object}}$$

Step2: Substitute the given values

Given that the length of the model is \(20\) inches and the length of the actual car is \(200\) inches.
$$\text{Scale factor}=\frac{20}{200}$$

Step3: Simplify the ratio

Divide both the numerator and the denominator by \(20\).
$$\frac{20\div20}{200\div20}=\frac{1}{10}$$
So the scale factor is \(1:10\)

Answer:

A. \(1:10\)