Final answer:
The height of the enlarged photo that Mrs. Allen made is 9 inches, obtained by applying the scale factor of 1.5 to the original height.
Step-by-step explanation:
Mrs. Allen enlarged a 6-inch by 8-inch photo to a width of 12 inches.
To find the height of the enlarged photo, we need to determine the scale factor and then apply it to the original height. The original width was 8 inches, and the enlarged width is 12 inches, so the scale factor is 12/8, which simplifies to 1.5.
To calculate the new height, we multiply the original height by the scale factor: 6 inches × 1.5 = 9 inches. Therefore, the height of the enlarged photo is 9 inches.