On a map, 5 cm represents 100 km of actual distance. What is the actual distance between two cities that are 13.25 cm apart on the map?
Using the given scale, we can set up the following proportion:
5 cm represents 100 km
13.25 cm represents x km
To find x, we can cross-multiply and solve for x:
(5 cm)(x km) = (100 km)(13.25 cm)
5x = 1325
Dividing both sides by 5:
x = 1325/5 = 265
Therefore, the actual distance between the two cities is 265 km.