Final answer:
The actual motorcycle would be 7 feet 10.5 inches long when the scale model length is 5.25 inches and the scale is 1:18.
Step-by-step explanation:
To find the actual length of the motorcycle when the scale model is 1:18, and the model is 5.25 inches long, we will apply a simple ratio and proportion calculation. First, we'll convert the length of the model into the same units as the actual motorcycle we want to find.
Since the scale is 1:18 (model length : actual length), for every 1 unit of measurement in the model, the actual motorcycle is 18 times larger. So we can set up a proportion as follows:
Model length = 5.25 inches
Scale ratio = 1:18
Actual length (in inches) = 5.25 inches * 18
To find the length in feet, remember that 1 foot equals 12 inches. So we divide the actual length in inches by 12 to get the length in feet.
- Actual length (in inches) = 5.25 inches * 18 = 94.5 inches
- Actual length (in feet) = 94.5 inches / 12 inches per foot = 7.875 feet
The actual length in feet has a decimal part, so to find the actual length in feet and inches, we take the fractional part (0.875) and multiply it by 12:
- Decimal part of the feet measurement = 0.875 feet
- Length in inches = 0.875 feet * 12 inches per foot = 10.5 inches
Therefore, the actual motorcycle is 7 feet 10.5 inches long.