If a road map has a scale of 3 in.: 100 mi., find the following distances
25. If Dodge City and Pine Bluff are 500 mi. apart, what is the distance between them on a map?
SHOW WORK
To find the distance between Dodge City and Pine Bluff on the map, we need to use the scale given in the problem.
The scale is 3 in.: 100 mi.
This means that for every 3 inches on the map, the actual distance is 100 miles.
To find the distance between Dodge City and Pine Bluff on the map, we can set up a proportion:
3 in. / 100 mi. = x in. / 500 mi.
where x is the distance between Dodge City and Pine Bluff on the map.
To solve for x, we can cross-multiply:
100 mi. * x in. = 3 in. * 500 mi.
Simplifying:
100x = 1500
Dividing both sides by 100:
x = 15
Therefore, the distance between Dodge City and Pine Bluff on the map is 15 inches.