A lady at point A on the northwest corner of a rectangular lake swims in a straight line to a point C on the opposite bank and then walks south along the lake to point B at the southeast corner. The lake is 1 mile wide and 10 miles long. She swims at 2 miles/hr and walks at (squareroot 13)miles/hr. let x be the distance of point C from the northern shore of the lake.

Find the function T(x) which is the total travel time of the lady from point A to point B in terms of the variable x. There is no need to find critical points here because the question is to just set up the function T(x)

T(X)= swim time +runtime =