Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Where is the fifth information kiosk located?
To find the location of the fifth information kiosk, we can use the pattern that Tomas is following: moving 1 unit east and 3 units north from the previous pin.
Starting from the location of the first information kiosk at (3, 0):
- The second information kiosk is at (3+1, 0+3) = (4, 3).
- The third information kiosk is at (4+1, 3+3) = (5, 6).
- The fourth information kiosk is at (5+1, 6+3) = (6, 9).
So, the fifth information kiosk will be at (6+1, 9+3) = (7, 12).
Therefore, the fifth information kiosk is located at (7, 12).