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On a map, two cities are 3.2 inches apart. The map has a scale of 1 inch to 30 miles. How far apart, in...

8. On a map, two cities are 3.2 inches apart. The map has a scale of 1 inch to 30 miles. How far apart, in inches, would the same two cities be on a map that has a scale of 1 inch to 48 miles?

Answer

To find the distance in inches on the new map, first calculate the actual distance between the cities using the original map scale:

  1. Original map scale: 1 inch = 30 miles
  2. Distance on original map: 3.2 inches
  3. Actual distance: 3.2 inches * 30 miles/inch = 96 miles

Now, use the new map scale to find the distance in inches:

  1. New map scale: 1 inch = 48 miles
  2. Distance on new map: 96 miles / 48 miles/inch = 2 inches

The cities would be 2 inches apart on the new map.

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