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An inch represents the distance of 15 miles on a map. A distance of x miles is represented by how many inches on a map?

1 Answer

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Final answer:

To find the number of inches represented by a given distance in miles on a map, set up a proportion using the given scale. The given scale is 1 inch = 15 miles.

Step-by-step explanation:

To find the number of inches represented by a given distance in miles on a map, we can set up a proportion using the given scale. The given scale states that 1 inch represents 15 miles. Let's call the distance in miles x. So, our proportion is as follows:

1 inch / 15 miles = x inches / x miles

To solve for x, cross-multiply and solve the equation:

1 * x miles = 15 * x inches

x miles = 15x inches

So, the distance of x miles is represented by x * 15 inches on the map.

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