Question

Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo? 3 × 8 6 × 8 12 × 16 18 × 24

Answer 1

6 x 8

Explanation:

When you look at DQ,4 and you break it apart a little bit, you will realize that the dilation is 4 and in this case it will increase by 4.

(Don't mind the Q it is just there to tell you where the center point is)

So if you look at the options:

3 x 8 ---- that will not work because 3x4= 12 which is not 32 and not 24 so we should kick that one out.

6 x 8 ---- This is good because 6x4=24 and 8x4=32!

We don't have to go any further (you can if you want though)!

Again, 6 x 8 is your answer.

Answer 2

6 × 8

Explanation:

Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.

So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:

(24/4) x (32/4) = 6 x 8

It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.