A model of an airplane is 8 inches long. If the actual airplane is 32 feet: What is the scale factor?
First find the number of inches in 32 feet. (Hint: there are 12 inches in a foot.)
Next, set up a fraction with the number of inces in the model as the numerator and the number of inches in the actual plane in the denominator.
What is that fraction? Then reduce it to its lowest terms.
If you post your answer, we'll be glad to check it.
To determine the scale factor, we need to compare the measurements of the model and the actual object.
First, we need to convert the length of the actual airplane from feet to inches because the length of the model is given in inches:
1 foot = 12 inches
So, the length of the actual airplane in inches is:
32 feet * 12 inches/foot = 384 inches
Now, let's calculate the scale factor. The scale factor is the ratio of the length of the actual airplane to the length of the model:
Scale factor = Length of actual airplane / Length of model
Scale factor = 384 inches / 8 inches
Simplifying the expression:
Scale factor = 48
Therefore, the scale factor is 48.