Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole likes the poster so much, she reproduced the artwork on regular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?

Accepted Solution

First, we must convert the feet to inches so they have the same units.

1ft: 12 in
3(12)3 :36 inches
2(12 = 24 inches

So Nicole's poster is 36in to 24in
Her friends mini poster is 2 in to 1 1/3 in
36 divided by 2 is 18, and 24 divided by 1 1/3 also equals 18

So the scale factor is 18:1