A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model.

Solution:

We use the ratio here to compare the lengths of the actual car and its model.

A ratio scale is a quantitative measurement scale that is used to compare numbers.

The model is 4 inches long while the actual car is 8 feet long.

One foot is equal to 12 inches. Therefore the car in terms of inches is:

8 feet × 12 inches = 96 inches

The ratio scale is the length of the model of the car : length of the actual car

= 4: 96

= 1: 24

Therefore the scale of the model is 1: 24

A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model.

Summary:

The model of the car has dimensions that are 1/24 of the dimensions of the actual car. The scale of the model is therefore 1:24.