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 and miles

x = 67.5 miles

Step-by-step explanation:

Given:-

- The distance between two cities on map, d = 4.5 cm

- Scale : ( 1 cm -> 15 miles)

Find:-

The actual distance between two cities.

Solution:-

- We can direct proportion ratios to determine the actual distance between the two cities by using the scale of the map.

                                   map                   actual

              Scale :          1 cm       > 15 miles

              cities:           4.5 cm   > x

- The proportional relationship is:

                      x = (15 miles)*(4.5 cm) / ( 1 cm )

                      x = ( 67.5 miles )