In the following diagram, S represents the position of a power relay station located on a...

 

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In the following diagram, S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a marine biology experimental station on an nearby island. A cable is to be laid connecting the relay station at S with the experimental station at M via the point Q that lies on the x-axis between O and S. The cost of running the cable on land is $400/running foot and the cost of running cable under water is $700/running foot. y (feet) M(0, 3000) Q(x, 0) x (feet) S(10,000, 0) Find an expression in terms of x that gives the total cost of laying the cable. C(x) = What is the total cost when x = 1500? When x = 2750? (Round your answers to the nearest cent.) x = 1500 $ x = 2750 $ In the following diagram, S represents the position of a power relay station located on a straight coastal highway, and M shows the location of a marine biology experimental station on an nearby island. A cable is to be laid connecting the relay station at S with the experimental station at M via the point Q that lies on the x-axis between O and S. The cost of running the cable on land is $400/running foot and the cost of running cable under water is $700/running foot. y (feet) M(0, 3000) Q(x, 0) x (feet) S(10,000, 0) Find an expression in terms of x that gives the total cost of laying the cable. C(x) = What is the total cost when x = 1500? When x = 2750? (Round your answers to the nearest cent.) x = 1500 $ x = 2750 $