Braden took a picture of her friends and wants to enlarge it to make a poster. The original picture is 4 inches tall and 6 inches wide. Which poster would be proportional to the original?0.7xen-US1If she makes a poster that is 20 inches tall and 30 inches wide2If she makes a poster that is 24 inches tall to 40 inches wide3If she makes a poster that is 25 inches tall and 50 inches wide4If she makes a poster that is 40 inches tall and 55 inches wide
Question
Braden took a picture of her friends and wants to enlarge it to make a poster. The original picture is 4 inches tall and 6 inches wide. Which poster would be proportional to the original?0.7xen-US1If she makes a poster that is 20 inches tall and 30 inches wide2If she makes a poster that is 24 inches tall to 40 inches wide3If she makes a poster that is 25 inches tall and 50 inches wide4If she makes a poster that is 40 inches tall and 55 inches wide
Solution
The poster that would be proportional to the original would be the one that maintains the same ratio of height to width as the original picture.
The original picture has a height of 4 inches and a width of 6 inches, so the ratio of height to width is 4:6 or 2:3 when simplified.
Now let's check each option:
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A poster that is 20 inches tall and 30 inches wide also has a height to width ratio of 2:3 (20:30 simplifies to 2:3). So, this poster is proportional to the original.
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A poster that is 24 inches tall and 40 inches wide has a height to width ratio of 3:5 (24:40 simplifies to 3:5). This is not the same as the original ratio, so this poster is not proportional to the original.
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A poster that is 25 inches tall and 50 inches wide has a height to width ratio of 1:2 (25:50 simplifies to 1:2). This is not the same as the original ratio, so this poster is not proportional to the original.
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A poster that is 40 inches tall and 55 inches wide has a height to width ratio that is not the same as the original ratio, so this poster is not proportional to the original.
So, the only poster that is proportional to the original picture is the one that is 20 inches tall and 30 inches wide.
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