Question

1. when an item with dimensions of 8 inches by 12 inches is reduced to have dimensions of 0.8 inches by 1.2 inches, what is the scale - factor?

a. 1/10
b. 1/10,000
c. 1/100
d. 1/1,000

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ is given by the ratio of the new dimension to the original dimension. We can use either the length or the width. Let's use the length.

Step2: Calculate the scale factor

The original length is $l_1 = 8$ inches and the new length is $l_2=0.8$ inches. The scale factor $k=\frac{l_2}{l_1}=\frac{0.8}{8}=\frac{8}{80}=\frac{1}{10}$.

Answer:

c. $\frac{1}{10}$