The distance between two cities on a map is 7.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?
Responses
A 2 km2 km
B 112.5 km112.5 km
C 500 km500 km
D 22.5 km
To find the actual distance between the two cities in kilometers, you need to determine the ratio between the distance on the map and the actual distance using the scale provided.
Given that 1 centimeter on the map represents 15 kilometers in reality, you can set up a proportion:
7.5 cm on the map represents x kilometers in reality.
1 cm on the map represents 15 kilometers in reality.
(7.5 cm / 1 cm) = (x km / 15 km)
Solving for x gives:
x = 7.5 cm * 15 km / 1 cm
x = 112.5 km
Therefore, the actual distance between the two cities in kilometers is 112.5 km, so the answer is B) 112.5 km.