Question

The scale of a map is 2.5ft = 10 miles, what would be the distance on the map if the actual distance between the 2 cities = 80 miles?

Answer 1

20 ft

Step-by-step explanation:

The scale of the map: 2.5ft = 10 miles

This means that 2.5ft represents 10 actual miles.

If the actual distance between two cities is 80 miles, then it follows:

`\frac{\text{Distance on map}}{\text{Actual Distance}}=\frac{2.5ft}{10\text{ miles}}=\frac{x\text{ ft}}{80\text{ miles}}`

We solve for x.

`\begin{gathered} 10x=2.5*80 \\ x=(2.5*80)/(10) \\ x=20ft \end{gathered}`

The distance on the map will be 20 ft.