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.