Final answer:
To determine the width of the enlarged photograph, the proportionality principle applied to the original 6:4 ratio results in an enlarged width of 10 inches when the length is proportionally increased to 15 inches.
Step-by-step explanation:
You asked what the width of an enlarged photograph would be if the original dimensions are 6 inches by 4 inches and the length is enlarged to 15 inches. To solve this, we need to use the concept of proportionality. The original length to width ratio is 6:4, which can be simplified to 3:2. If we enlarge the photograph so that the length is 15 inches, we must keep the same ratio for the width. Therefore, we use the proportion 3:2 = 15:W, where W represents the width we need to find.
By cross-multiplying, we get 3 x W = 15 x 2. Simplifying this gives us W = (15 x 2) / 3 = 30 / 3 = 10 inches. So the width of the enlarged photograph is 10 inches.
The correct answer is Option A: 10 inches.