Question

The scale of a map of Florida is 2cm= 3 miles. If the distance between Apopka and Miami is 249 miles how far apart are they on the map?

Answer 1

Given in the situation:

a.) The scale of a map of Florida is 2 cm = 3 miles.

b.) The distance between Apopka and Miami is 249 miles.

For this type of problem, we will be applying ratio and proportion.

The ratio of the map scale = 2 cm : 3 miles

Using this ratio, let's determine how far apart are Apopka and Miami on the map. Let x be the scale equivalent of the distance on the map.

We get,

`\text{ 2 cm : 3 miles }\rightarrow\text{ x : 249 miles}`
`\frac{2\text{ cm}}{3\text{ miles}}\text{ = }\frac{x}{249\text{ miles}}`
`\frac{(2\text{ cm)}(249\text{ miles)}}{3\text{ miles}}\text{ = }x`
`\text{ x = }\frac{498\text{ cm }\cdot\text{ (miles)}}{3\text{ (miles)}}`
`\text{ x = }166\text{ cm}`

Therefore, Apopka and Miami are scaled as 166 cm apart on the map.