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{ }(1.5)/(200)\text{ = }(9)/(x)`
`(1.5)/(200)\text{ = }(9)/(x)`
`x\text{ = }(9(200))/(1.5)`
`\text{ x = 1,200 = 1,200 miles}`