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 36,000 C(x) = 200 + + 6 X where x is the ground speed (airspeed ± wind). (a) What is the cost when the ground speed is 420 miles per hour; 520 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?
(a) The cost is $ when the ground speed is 420. (Round to the nearest dollar as needed.)