To convert feet into miles, you need the relationship between feet and miles. There are 5,280 feet in 1 mile.
To find which proportion could be used to convert 3,600 feet into miles, we can rearrange the proportions accordingly.
Here’s a breakdown of each option:
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3,600 ft / 1 mi = 5,280 ft / x: This proportion is incorrect because it implies that 3,600 feet is equivalent to 1 mile, which is not true.
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x / 3,600 ft = 5,280 ft / 1 mi: This proportion can be rearranged to find x (the number of miles equivalent to 3,600 feet). It states that the ratio of x miles to 3,600 feet is equal to the ratio of 5,280 feet to 1 mile.
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3,600 ft / 5,280 ft = 1 mi / x: This proportion is also valid. It expresses the ratio of 3,600 feet to 5,280 feet is equal to the ratio of 1 mile to x (the equivalent of 3,600 feet in miles).
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3,600 ft / x = 5,280 ft / 1 mi: This is incorrect as it states that 3,600 feet is equal to some fraction of x miles, which is a misinterpretation of the conversion.
The correct proportions that can be used to convert 3,600 feet to miles are:
- x / 3,600 ft = 5,280 ft / 1 mi
- 3,600 ft / 5,280 ft = 1 mi / x
Thus, options 2 and 3 are valid for converting 3,600 feet into miles.