Question

The scale of a map is 1 cm :50 mi. Determine the distance between two cities that are

4.2 cm apart on the map

Answer 1

The actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi is 210 miles. The distance was calculated using a direct proportion based on the map's scale.

Step-by-step explanation:

To determine the actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi, you can use the following method:

First, understand that the scale means for every 1 cm on the map, the actual distance is 50 miles. Therefore, you can set up a direct proportion to solve for the actual distance.

Scale of map: 1 cm : 50 mi
Distance on map: 4.2 cm

Setting up the proportion, we get:

• 1 cm / 50 mi = 4.2 cm / x mi

Now, solve for 'x' which represents the actual distance between the two cities.

• x = (4.2 cm × 50 mi) / 1 cm
• x = 210 mi

The actual distance between the two cities is 210 miles.

Answer 2

To find this, just multiply 50 by 4.2. This means that the cities are 210 miles apart.