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
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C(x) = 50 + = +
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where x is the ground speed (airspeed wind).
(a) What is the cost when the ground speed is 350 miles per hour, 460 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 TbiStart = 0 and ATbl = 50.
(e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?