Question

A scale drawing of a rose is 3 inches long. The actual rose is 1.5 feet long. What is the scale factor of the drawing and what is the scale of the drawing? Please explain!! :D

Answer 1

so 1.5x=3
so, 3/1.5 is 2. since the rose (preimage) is smaller then the image, it is 2 because 1.5×2 is 3.

Answer 2

The scale of the drawing is 6

Explanation:

Given

Actual Length of Rose = 1.5 feet

Scale drawing of rose = 3 inches

First, we need to equalize both units (by converting feet to inches or inches to feet)

Convert the actual length of rose to inches

If 1 foot = 12 inches

Then 1.5 feet = 12 * 1.5 inches

1.5 feet = 18 inches

Now that we have a single unit for both measurement;

Using the scale factor formula

y = Cx,

where C is the scale factor for x.

y is the measurement of the actual rose = 18 inches

x is the scale drawing of the rose = 3 inches

By substitution; y = Cx, becomes

18 inches = C * 3 inches --- Make C the subject of formula

C = 18 inches / 3 inches

C = 6

Hence, the scale of the drawing is 6