Question 1 of 10Iris has a family photograph with a width of 8 in and a height of 10 in. She wants to enlarge the photograph so that its width is 12 in. What will the height of the enlarged photograph be?A.16 inB.18 inC.14 inD.15 in
Question
Question 1 of 10Iris has a family photograph with a width of 8 in and a height of 10 in. She wants to enlarge the photograph so that its width is 12 in. What will the height of the enlarged photograph be?A.16 inB.18 inC.14 inD.15 in
Solution
To solve this problem, we need to set up a proportion. The width and height of the original photo are in the same proportion as the width and height of the enlarged photo.
The original photo's dimensions are 8 in (width) by 10 in (height). Iris wants to enlarge the photo to a width of 12 in. We can set up the proportion like this:
8/10 = 12/x
To solve for x (the unknown height of the enlarged photo), we cross-multiply:
8x = 1012
8x = 120
Then, divide both sides by 8 to solve for x:
x = 120 / 8
x = 15
So, the height of the enlarged photo will be 15 inches. Therefore, the correct answer is D. 15 in.
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