A plane crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by x C(x) = 150+=+ 40,000 x where x is the ground speed (airspeed + wind). (a) What is the cost when the ground speed is 500 miles per hour, 620 miles per hour? (b) Find the domain of C. (c) Use a graphing calculator to graph the function C = C(x). (d) Create a TABLE with TblStart=0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?

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