Question

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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Answer 1

Start at (3, 0). Each pin adds (1, 3). The 5th kiosk is 4 steps from the first:
(3,0) + 4(1,3) = (3+4, 0+12) = (7,12).
Answer: (7, 12).