Question

A sign-making store made a banner from a photograph. The photograph was 8 10 inches, and the banner was 12 15 feet. What scale factor did the sign-making store use?
a 5 to 4
b 1 to 1
c 3 to 2
d 18 to 1

Answer 1

Answer:

Option D. is the answer.

Step-by-step explanation:

A sign making store made a banner from a photograph having dimensions = 8 inches by 10 inches

Original dimensions of the banner are 12 by 15 feet or 12×12 by 15×12 inches.

Scale factor used by the store= $\frac{\text{One side of the banner}}{\text{One side of the photograph}}$ = $\frac{12\times 12}{8}=18:1$

Option D. is the answer

Answer 2

The unknown scale factor above is calculated by dividing the true value of the length of the banner by the length in the photograph. If we take the first dimension that is 8 inches only in photograph but 12 feet in the banner. 
                              scale factor = (12 ft)(12 inches/ 1 ft)  ÷ 8 inches
                               scale factor = 18
Therefore, the scale factor is 18:1. The answer to this item is letter D.