Solve the Problem $C ( x ) = 125 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 175 ( 10,560 - x )$

Multiple Choice

Solve the problem.
-A power plant is located on a river that is 650 feet wide. To lay a new cable from the plant to a location in a city 2 miles downstream on the opposite side costs $175 per foot across the river and $125 per foot along the land.
Suppose that the cable goes from the plant to a point Q on the opposite side that is x feet from the point P
Directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x.

A) $C ( x ) = 125 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 175 ( 10,560 - x )$
B) $C ( x ) = 175 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 125 ( 10,560 - x )$
C) $C ( x ) = 175 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 125 ( 2 - x )$
D) $C ( x ) = 175 ( 650 - x ) + 125 ( 2 - x )$