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On a treasure map, the route is 3 inches north, 2 inches west, 1. 5 inches north, and 0. 25 inches east. The actual distance of the entire route is 135 feet. What does each inch on the map represent? Explain how you found the answer.

Respuesta :

Each inch on the treasure map represents 20 feet in actuality.

Given to us

  • On a treasure map, the route is 3 inches north, 2 inches west, 1. 5 inches north, and 0. 25 inches east.
  • The actual distance of the entire route is 135 feet.

Total distance on map

Total distance on map

= 3 inches north + 2 inches west + 1. 5 inches north + 0. 25 inches east

= 3 inches + 2 inches + 1.5 inches + 0.25 inches

= 6.75 inches

Each inch on the map

[tex]\rm{ Each\ inch\ on\ the\ map=\dfrac{Actual\ distance\ of\ the\ entire\ route}{Total\ distance\ on\ map}[/tex]

                                  [tex]=\dfrac{135\ feet}{6.75\ inches}\\\\= 20\ feet[/tex]

hence, each inch on the treasure map represents 20 feet in actuality.

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