A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance between Point A and X-marks-the-spot is 9.5 inches. How many actual miles does this represent?

A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance between Point A and X-marks-the-spot is 9.5 inches. How many actual miles does this represent?

Detailed Explanation

If 2 inches = 3 miles, then 1 inch equals: 3 ÷ 2 = 1.5 miles. Multiply \(1\frac{{1} }{{2}}\) miles × 9.5 inches to determine the actual distance: 1.5 × 9.5 = 14.25 or \(14\frac{{1} }{{4}}\) miles.