Respuesta :

A scale factor is the ratio of two similar geometric figures of their corresponding sides. The scale factor is calculated by locating the corresponding sides on each figure and dividing these values. Therefore, the scale factor would be 48/8 by 36/6 = 6 by 6. 

Answer:

the scale factor is 6.

Step-by-step explanation:

A 48 inch by 36 inch poster is reduced to an image that is 8 inch by 6 inch in size.

Since scale factor is determined by

[tex]\text{Scale factor}=\frac{\text{Actual size}}{\text{Image size (reduced or dilated)}}[/tex]

So we put one side of the poster in the formula

Scale factor = [tex]\frac{48}{8}=6[/tex]

Therefore, 6 is the answer.

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