Question

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 3 feet by 412 feet. What is the scale factor of this dilation?

Answer 1

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.

$3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}$

$4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}$

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.