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.
No diagram.
B. The scale is 1:10
so wheels not to scale
A. To find the actual length of the car, we can use the concept of scale. The scale factor is the ratio of the height of the actual car to the height of the model car.
Scale factor = Actual height / Model height
In this case, the scale factor is 10 feet / 1 foot = 10.
To find the actual length, we multiply the scale factor by the length of the model car.
Actual length = Scale factor * Model length
Since the question doesn't provide the model length, we cannot determine the actual length.
B. To determine if the model wheels are in proportion to the actual wheels, we need to compare their sizes.
The actual wheel radius is given as 2.25 feet, and the model wheel diameter is given as 6 inches. To compare them, we need to convert the model wheel diameter to feet.
1 foot = 12 inches, so 6 inches = 6/12 = 0.5 feet.
Now, we can compare the two.
Actual wheel radius / Model wheel radius = 2.25 feet / 0.5 feet = 4.5.
If the actual wheel radius is 4.5 times larger than the model wheel radius, it means that the actual wheels are not in proportion with the model wheels.