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?

Answer 1

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).