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
38,000
х
C(x) = 50+
9
+
х
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 ThlStart = 0 and ATbl = 50.
(e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger?