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.
`(1)/(6)`

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=\frac{\text{Length of image}}{\text{length of poster}}\\\\\Rightarrow\ k=(8)/(48)=(1)/(6)`

Hence, the scale factor =
`(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.