Question

A map has the scale 0.75 of an inch equals 220 miles. The distance from Springfield to Glenview is 6 inches. How many actual miles separate Springfield from Glenview?

Answer 1

Answer:

1,760 actual miles separate Springfield from Glenview.

Step-by-step explanation:

Scaling

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing real dimensions by a constant factor. We use scaling when representing geographic locations on a map.

The map has the scale:

0.75 inch => 220 miles

This gives us the scaling factor as 220/0.75. There is no need to divide.

We are given the distance from Springfield to Glenview is 6 inches on the map. The actual distance is

6*220/0.75 = 1,760

1,760 actual miles separate Springfield from Glenview.