The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inches north, 4 inches east, 2 inches south, and 1 inch west. How many miles does each inch on the map represent?
Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map: [tex]Diastance_{map}=3+4+2+1[/tex] [tex]Distance_{map}=10[/tex] Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map: [tex] \frac{5miles}{10inches} = 0.5 \frac{mile}{inch} [/tex]
We can conclude that each inch the map represents 0.5 miles of walking distance.