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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

Respuesta :

musiclover10045
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.
JeanaShupp

Answer:  B. [tex]\dfrac{1}{6}[/tex]

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

[tex]k=\dfrac{\text{Length of image}}{\text{length of poster}}\\\\\Rightarrow\ k=\dfrac{8}{48}=\dfrac{1}{6}[/tex]

Hence, the scale factor =[tex]\dfrac{1}{6}[/tex]

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