Question

A map has a scale of1.5 inches : 200 miles. IfMiami and Chicago are 9inches apart on the map,what is the actual distancebetween the two cities?

Answer 1

Given in the question:

a.) A map has a scale of 1.5 inches: 200 miles.

b.) Miami and Chicago are 9 inches apart on the map.

To be able to get the actual distance, we will be applying ratios and proportions.

We get,

$\text{ 1.5 inches : 200 miles = 9 inches : x}$

Where,

x = the actual distance between the two cities

Let's now compute,

$\text{ 1.5 inches : 200 miles = 9 inches : x}$$\text{ 1.5:200 = 9:x }\rightarrow\text{ }\frac{1.5}{200}\text{ = }\frac{9}{x}$$\frac{1.5}{200}\text{ = }\frac{9}{x}$$x\text{ = }\frac{9(200)}{1.5}$$\text{ x = 1,200 = 1,200 miles}$