Final answer:
Becky should have the larger print made to be 15 inches tall to maintain the proportion of the original 3 inches by 5 inches photograph, ensuring that the aspect ratio remains the same.
Step-by-step explanation:
To determine the height of the larger print that Becky wants, we use the concept of proportions. The original photograph and the larger print must have the same aspect ratio, that is, the ratio of width to height must be constant. Since the original photo is 3 inches tall and 5 inches wide, the ratio of height to width is 3/5.
Let's call the height of the larger print 'H'. Now, if the larger print is to be 25 inches wide, we set up the proportion like this:
- Original height / Original width = New height / New width,
- which translates to 3 / 5 = H / 25.
To solve for 'H', we cross-multiply:
- 3 × 25 = 5 × H,
- which gives 75 = 5H.
- Divide both sides by 5 to get H = 15.
Therefore, the larger print should be 15 inches tall to maintain the original proportions.