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Solve the Problem C(x)=125x2+6502+175(10,560x)C ( x ) = 125 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 175 ( 10,560 - x )

Question 62

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.  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 )


A) C(x) =125x2+6502+175(10,560x) C ( x ) = 125 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 175 ( 10,560 - x )
B) C(x) =175x2+6502+125(10,560x) C ( x ) = 175 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 125 ( 10,560 - x )
C) C(x) =175x2+6502+125(2x) C ( x ) = 175 \sqrt { x ^ { 2 } + 650 ^ { 2 } } + 125 ( 2 - x )
D) C(x) =175(650x) +125(2x) C ( x ) = 175 ( 650 - x ) + 125 ( 2 - x )

Correct Answer:

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