On a coordinate plane, the position of two friends can be defined by the points A(1,3) and B(7,6). Their teacher is standing at point C, the teacher’s distance from point A is twice the distance from Point B. What are the coordinates of point C?

A.) (5,5)
B.) (-5,5)
C.) (4, 9/2)
D.) (8/3, 3)

Please show work if possible!