156k views
4 votes
The scale of a map is 1.5 centimeters =

120 kilometers. If two cities are
4.75 centimeters apart on the map,
what is their actual distance?
A. 420 km
B. 390 km
C.
380 km
D. 360 km

2 Answers

5 votes

Final answer:

The actual distance between the two cities, using the map scale of 1.5 centimeters to 120 kilometers and a map distance of 4.75 centimeters, is calculated to be 380 kilometers.

Step-by-step explanation:

The map scale states that 1.5 centimeters equals 120 kilometers. In order to find the actual distance between two cities that are 4.75 centimeters apart on the map, we need to set up a proportion.

We first write the unit scale as a ratio: 1.5 cm / 120 km. Then, we can arrange a proportion to find the actual distance corresponding to 4.75 cm on the map.

1.5 cm 4.75 cm
-------- = ---------
120 km x km
To find x, cross-multiply and solve for x:1.5x = 4.75 * 120
x = (4.75 * 120) / 1.5
x = 570 / 1.5
x = 380 kilometers

Therefore, the actual distance between the two cities is 380 kilometers, which corresponds to option C.

User Dymanoid
by
6.5k points
5 votes
If 1.5cm : 120km
1cm : 80km
4.75cm : 380km

Hence the answer is c which is 380 km
User Michele Bortolato
by
7.2k points