Jasmine rides the subway to work every day, a distance of 14 miles. The distance on the route map between the station by Jasmine's house and the station by her work is 8 inches. What is the scale of the map?
To find the scale of the map, we need to divide the distance on the map by the actual distance.
Distance on map: 8 inches
Actual distance: 14 miles
Scale = Distance on map / Actual distance
Scale = 8 inches / 14 miles
Simplify the fraction by converting miles to inches:
1 mile = 63,360 inches
Scale = 8 inches / 14 miles * 63,360 inches/mile
Scale = (8 * 63,360) / 14
Scale = 45,120 / 14
Scale = 3,222.8571428571
The scale of the map is approximately 3,222.9.