Abuilder is trying to level out some ground with a front end loader. he picks up some excess dirt at (9,16) and then maneuvers through the job site along the vectors (-6,0) ,(2,5) ,(8,10) to get to the spot to unload the dirt. find the coordinates of the unloading point. find a single vector from the loading point to the unloading point.

The starting point is O (9, 16)

A move along the vector (-6, 0) lands at
(9-6, 16+0) = (3, 16)
A move along the vector (2, 5) lands at
(3+2, 16+5) = (5, 21).
A move along the vector (8, 10) lands at
(5+8, 21+10) = (13, 31).

The unloading point is Q (13, 31).

A vector from P to Q is
(13, 31) - (9,16) = (4, 15)

The graph below illustrates the travel scenario.

The unloading point has coordinates (13, 31).
The vector from the loading point to the unloading point is (4, 15)

The correct answer here is c