Final answer:
The scale factor of the drawing is 8.
Step-by-step explanation:
The scale factor of a drawing represents the ratio of the dimensions in the drawing to the actual dimensions. In this case, the scale of the drawing is 3 in. : 2 ft., which means that for every 3 inches in the drawing, the actual length is 2 feet. To find the scale factor, we can set up a ratio:
Scale factor = Actual length / Drawing length = 2 ft. / 3 in.
To simplify this ratio, we can convert the units to the same measurement. Since there are 12 inches in a foot, we can convert 2 ft. to 24 in.:
Scale factor = 24 in. / 3 in. = 8
Therefore, the scale factor of the drawing is 8.