Question

(If I think it’s right I’ll make you brainless answer) Mark is building a scale model of his car as shown in the diagram. The actual car has a height of 10 feet and the model has a height of 1 foot at the same place.

A. What is the actual length of the car? Show your work.
B. Mark has model wheels with a diameter of 6 inches. If the actual wheel radius is 2.25 feet, will they be in proportion with his model? Justify your answer.

Type your answer below:

Answer 1

The first part cannot be answered here without the diagram. However, I can tell you that the model he's building is 1/10 the size of the actual car. That means every measurement on the car is divided by 10 to get the model measurement.

The radius of the car wheel is 27 inches, so the diameter is 54 inches. Using what we know about the model, the correct proportions for the model wheel diameters would be 54 / 10, or 5.4, inches. Therefore, wheels with a diameter of 6 inches would not be in proportion with the model.

Answer 2

The actual height of the car is 10 feet and the scale of his model is 1:9.

Scaling

Scaling is used to increase or decrease the size of a figure by a factor k, thereby creating an image.

a) From the question, the actual height of the car is 10 feet.

b) Scale = Model size / actual size

Model radius = 6 inches / 2 = 3 inches

1 feet = 12 inches

Actual radius = 2.25 feet = 27 inches

Scale = 3 in / 27 in = 1 : 9

The actual height of the car is 10 feet and the scale of his model is 1:9.

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