Question

the distance between two cities on a map is 4.5 centimeters the map uses a scale in which 1 centimeter represents 15 miles what is the actual distance between these two cities in miles

Answer 1

Explanation:

even though it is unusual to use 2 different metric systems in one map, we can solve this easily and without any conversions between cm and miles.

1 cm on the map corresponds to 15 miles in reality.

so, the scaling ratio is 1/15.

now, we use the same ratio for the 4.5 cm between the 2 cities.

x is the real distance :

4.5/x = 1/15

15 × 4.5/x = 1

15 × 4.5 = x

67.5 = x

the distance between both cities is 67.5 miles.

Answer 2

67.5 miles

Reason:

For every centimeter, 15 miles are represented.

Since the distance represented by the map is 4.5 centimeters, and one centimeter = 15 miles, you must:

Multiply the scale factor (15) by the distance on the map (4.5).

Therefore, your answer is 67.5 miles.