Question

A map uses a scale of 2 centimeters = 50 kilometers. The distance between various cities on the map are given below. Find the actual distance between the cities.

A) Actual Distance = 100 kilometers
B) Actual Distance = 25 kilometers
C) Actual Distance = 75 kilometers
D) Actual Distance = 50 kilometers

Answer 1

To find the actual distance between the cities on a map, you need to use the scale provided. The actual distance is directly proportional to the distance on the map, with a scale ratio of 2 centimeters = 50 kilometers.

Step-by-step explanation:

To find the actual distance between the cities, we need to use the scale provided. The scale is 2 centimeters = 50 kilometers. So, for every 2 centimeters on the map, the actual distance is 50 kilometers.

Let's say the distance between the cities on the map is x centimeters. Since the scale ratio is 2 centimeters = 50 kilometers, we can set up a proportion:

2 centimeters / x centimeters = 50 kilometers / Actual Distance

Cross-multiplying, we get:

2 * Actual Distance = 50 * x

Actual Distance = 25 * x

Therefore, the actual distance between the cities is directly proportional to the distance on the map. To find the actual distance, simply multiply the distance on the map by 25.

For example, if the distance on the map is 2 centimeters, the actual distance would be 25 * 2 = 50 kilometers.