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?
A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.
(1 point)
Responses
(5, 5)
(5, 5)
(5, 10)
(5, 10)
(7, 10)
(7, 10)
(7, 12)
(7, 12)
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To find the location of the fifth information kiosk, we need to follow the pattern described.
Starting at (4, 3), we move 1 unit east and 3 units north to get to (5, 6) for the second kiosk.
From (5, 6), we again move 1 unit east and 3 units north to get to (6, 9) for the third kiosk.
Continuing with the pattern, from (6, 9), we move 1 unit east and 3 units north to get to (7, 12) for the fourth kiosk.
Finally, from (7, 12), we move 1 unit east and 3 units north to get to (8, 15) for the fifth kiosk.
Therefore, the fifth information kiosk is located at (8, 15).