Question

A cellular service provider is expanding the number of cell towers it has in Wayne County. Ona map of the towers, there are two that are 8 centimeters apart. The map uses a scale of 2centimeters = 1 kilometer. What is the actual distance between the two cell towers?kilometers

Answer 1

Since 2 cm on the map represents 1 km in real

Then to find real distance which represented by 8 cm we will use the cross multiplication

`(2)/(1)=(8)/(x)`

X represents the real distance

`\begin{gathered} 2* x=1*8 \\ 2x=8 \end{gathered}`

Divide both sides by 2 to find x

`\begin{gathered} (2x)/(2)=(8)/(2) \\ x=4 \end{gathered}`

Then the 8 cm on the map represents 4 km in the real