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 C(x) = 50 + x /7 34,000/x where x is the ground speed (airspeed ± wind). (a) What is the cost when the ground speed is miles per hour; miles per hour? 470; 590
(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 Tbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?