Math 1012 Math help

Question

The scale on a map is drawn so that  inches corresponds to an actual distance of  miles. If two cities are  inches apart on the map, how many miles apart are they? (Round to the nearest tenth)

Answer 1

This is a ratio question. Write down two ratios, put them equal to each other, then solve for the unknown.

3.5 inches corresponds to 325 miles

8.25 inches corresponds to how many miles?

As ratios:

3.5 : 325

8.25 : x

Rewrite the ratios as fractions, put them equal to each other, and solve for x:

3.5/325 = 8.25/x

3.5x = 2681.25

x = 766.071

This rounds to 766.1 miles