Question

the distance from london to paris is 450 km if the map you buy on the train between the two cities shows that the cities are 6 cm apart how much does one centimeter represent on the map

Answer 1

One centimeter on the map between London and Paris represents 75 kilometers in real life. You calculate this by setting up the scale of the map as a ratio, dividing the real distance by the map distance, and then simplifying to find the distance represented by 1 cm.

Step-by-step explanation:

To calculate how much one centimeter represents on the map between London and Paris, we need to establish the scale of the map.

Given that the distance from London to Paris is 450 kilometers, and on the map, this distance is shown as 6 centimeters, we set up a ratio to find the real-world distance that each centimeter on the map represents:

• First, we identify the given information: the real distance (450 km) and the map distance (6 cm).
• Next, we set up the ratio as follows:
• Map distance in centimeters / Real distance in kilometers = 6 cm / 450 km
• By simplifying this ratio, we can find out what 1 cm on the map represents in kilometers:
• 1 cm = 450 km / 6 cm
• Finally, we compute the value: 1 cm = 75 km.

Therefore, one centimeter on the map represents 75 kilometers in real life.