Scale in Mathematics: Understanding Model Cars Lengths

What is the scale provided in the equation for determining the length of Aseem and Santa's cars?

A) 1/2 inch = 1 foot

B) 1/3 inch = 1 foot

C) 1/4 inch = 1 foot

D) 1/5 inch = 1 foot

Answer:

The correct scale provided in the equation for determining the length of Aseem and Santa's cars is: C) 1/4 inch = 1 foot.

Scale in mathematics plays a crucial role in determining the proportion between a model and the actual object it represents. In this case, the scale provided in the equation represents that for every 1 foot in actual length, the model car would be represented by 1/4 inch in length. This means that the length of the model car is scaled down by a factor of 4.

When calculating the length of Aseem and Santa's cars based on this scale, we need to multiply the given measurements of the model cars by the scale factor. For example, if Aseem's car is represented by 10 inches in the model, the actual length of Aseem's car would be 10 inches * 4 feet/inch = 40 feet. Similarly, if Santa's car is represented by 15 inches in the model, the actual length of Santa's car would be 15 inches * 4 feet/inch = 60 feet.

Therefore, by understanding the scale provided in the equation, we can accurately determine the actual lengths of the model cars in relation to their scaled representations.