Final answer:
To find the width of the reduced photograph, a proportion is used comparing the original width to the reduced width, leading to a solution of 1/7 inches for the reduced width.
Step-by-step explanation:
To determine the width w of the reduced photograph, we need to set up a proportion that relates the new dimensions to the original dimensions. Given that the original photograph is 5 inches wide and the exercise mentions reducing it to fit a space that is 1 inch long, we assume that both dimensions are reduced by the same scale factor.
The reduced width w maintains the same ratio to the original width as the reduced length maintains to the original length. Hence, the proportion for width can be written as:
w/5 = 1/7
Solving this proportion will give us the reduced width:
5w = 5 × 1
w = 1/7 inches
So, the reduced photograph will be 1/7 inches wide.