Question

A 1/15th scale model of a car is 8 inches long. How long is the actual car in feet?

A) 120 feet
B) 90 feet
C) 105 feet
D) 96 feet

Answer 1

To find the length of the actual car, we need to convert the length of the scale model to the length of the actual car using the given scale. The length of the actual car in feet is 1440 inches.

Step-by-step explanation:

To find the length of the actual car, we need to convert the length of the scale model to the length of the actual car using the given scale.

1. First, we need to determine the scale conversion factor by dividing the actual length of the car by the length of the scale model:
2. Scale Conversion Factor = Actual Length of Car / Length of Scale Model
3. Next, we substitute the given values into the formula:
4. Scale Conversion Factor = 12 feet / (1/15) * 8 inches
5. We simplify the expression:
6. Scale Conversion Factor = 12 feet / (1/15) * 8 inches
7. Scale Conversion Factor = 180 feet
8. Finally, we multiply the scale conversion factor by the length of the scale model to find the length of the actual car:
9. Actual Length of Car = Scale Conversion Factor * Length of Scale Model
10. Actual Length of Car = 180 feet * 8 inches
11. Actual Length of Car = 1440 inches

Therefore, the length of the actual car in feet is 1440 inches.