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 to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed? Enter the coordinates in the boxes
The initial position is given as (3, 0).
To find the position after moving 1 unit east and 3 units north, we add 1 to the x-coordinate and 3 to the y-coordinate: (3 + 1, 0 + 3) = (4, 3).
If Tomas continues to move 1 unit east and 3 units north twelve more times, this pattern will repeat.
So, after 12 more moves, the x-coordinate will be 4 + 12 = 16, and the y-coordinate will be 3 + 12*3 = 39.
Therefore, the last pin will be placed at coordinates (16, 39).