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? after you answer, explain
Responses
A 2 km2 km
B 112.5 km112.5 km
C 500 km500 km
D 22.5 km
B 112.5 km
To find the actual distance between the two cities in kilometers, you would first need to calculate the ratio between the map distance and the scale.
7.5 centimeters on the map represents 15 kilometers in actual distance.
So, 1 centimeter on the map represents 15/7.5 = 2 kilometers in actual distance.
To find the actual distance represented by 7.5 centimeters on the map, you would multiply the scale factor by the map distance:
2 km/centimeter * 7.5 centimeters = 15 km * 7.5 = 112.5 km
Therefore, the actual distance between the two cities is 112.5 kilometers.