Cooper, a professional golfer, is playing on a golf tour. The next two stops are 4 centimeters apart on a map of the tour. If the map uses a scale of 2 centimeters = 1 kilometer, how far apart are the next two stops in real life?

kilometers

1 answer

To find out how far apart the two stops are in real life, we can use the given scale of the map. The scale states that 2 centimeters on the map corresponds to 1 kilometer in reality.

We know the distance on the map is 4 centimeters. To find the real distance, we can set up a proportion based on the scale:

  1. First, we determine how many kilometers correspond to 2 centimeters:

    • 2 centimeters = 1 kilometer
  2. Next, we need to find out how many kilometers correspond to 4 centimeters. We can do this by setting up a ratio: \[ \text{Real distance} = \frac{4 \text{ cm}}{2 \text{ cm/km}} \times 1 \text{ km} \]

  3. Now we can calculate: \[ \text{Real distance} = 4 \text{ cm} \times \frac{1 \text{ km}}{2 \text{ cm}} = \frac{4}{2} \text{ km} = 2 \text{ km} \]

Thus, the distance between the next two stops in real life is 2 kilometers.