Question

- Stephanie has a photo of her family that she is placing in a

frame. The original photo is 5 inches by 7 inches. She
enlarges the photo by a scale factor of 2 to place in her room.
She then enlarges this photo by a scale factor of 1.5 to place
above her fireplace. What are the dimensions of the photo
above her fireplace? Are the enlarged photos similar to the
original?

Answer 1

The photo above Stephanie's fireplace has dimensions of 15 inches by 21 inches after sequential enlargements by scale factors of 2 and then 1.5. The enlarged photos are similar to the original photo because they retain the same aspect ratio.

Step-by-step explanation:

Stephanie originally has a photo that is 5 inches by 7 inches. When she enlarges the photo by a scale factor of 2, the new dimensions are: 5 inches x 2 = 10 inches by 7 inches x 2 = 14 inches. Then, when she enlarges this photo again by a scale factor of 1.5, the final dimensions for the photo above her fireplace are 10 inches x 1.5 = 15 inches by 14 inches x 1.5 = 21 inches. Yes, the enlarged photos are similar to the original because they maintain the same proportions after scaling.