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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

Sagot :

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

[tex]\frac{2}{1}=\frac{8}{x}[/tex]

X represents the real distance

[tex]\begin{gathered} 2\times x=1\times8 \\ 2x=8 \end{gathered}[/tex]

Divide both sides by 2 to find x

[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ x=4 \end{gathered}[/tex]

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