AngeliaB270431 AngeliaB270431
  • 27-10-2022
  • Mathematics
contestada

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?

Respuesta :

MaelaR315152 MaelaR315152
  • 27-10-2022

Answer:

20 ft

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:

[tex]\frac{\text{Distance on map}}{\text{Actual Distance}}=\frac{2.5ft}{10\text{ miles}}=\frac{x\text{ ft}}{80\text{ miles}}[/tex]

We solve for x.

[tex]\begin{gathered} 10x=2.5\times80 \\ x=\frac{2.5\times80}{10} \\ x=20ft \end{gathered}[/tex]

The distance on the map will be 20 ft.

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