Question

A 48 in, by 36 in. poster is reduced to an image that is 8 in. by 6 in. in size to be used for a flyer. What is the scale factor?
A. 3/2
B. 1/6
C. 1/8
D. 6

Answer 1

Answer:  B. $\dfrac{1}{6}$

Step-by-step explanation:

Given: The length of the poster = 48 in

The width of the poster =  36 in.

The length of the image = 8 in.

The width of the image = 6 in.

The scale factor is the ratio of the length of corresponding side of image to pre-image.

Let k be the scale factor .

Then , we have

$k=\dfrac{\text{Length of image}}{\text{length of poster}}\\\\\Rightarrow\ k=\dfrac{8}{48}=\dfrac{1}{6}$

Hence, the scale factor =$\dfrac{1}{6}$

Answer 2

Divide the original size by the reduced size:

48 / 8 = 6
36 / 6 = 6

Both sides were reduced by the same amount, and because the image was made smaller the scale factor would be a fraction less than 1.

The scale factor would be 1/6

The answer is B.