You are making a poster to support your friend for homecoming. Your original photo is 3 inches by 5 inches. You want the photo on the poster to be 2 1/2 feet by 4 1/6 feet. What is the scale factor of this dilation?

Respuesta :

Answer:

9

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            


First of all we will convert dimensions of poster from feet to inches.

3ft = 3x12 in = 36ft

4 1/2 ft = 4.5x 12in = 54in

Now let us compare sides of our original photo with corresponding sides of poster.

frac{36}{4}  = 9

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      


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