MAT 117 Graphs of Functions 1.2 Name_____________________ 1. A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an average airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by C x 100 x 36000 where x is the 10 x groundspeed. a) Use a graphing utility to graph the function C x . Draw a sketch the graph below. b) Create a TABLE with TblStart = 0 and ΔTbl = 50 and use it to find the ground speed which minimizes the cost per passenger to the nearest 50 miles per hour. 2. If an object weighs m pounds at sea level, then its weight W (in pounds) at a height h miles 2 4000 . 4000 h above sea level is given approximately by W h m a) If Amy weighs 120 pounds at sea level, how much will she weigh on Mount Everest, which is approximately 29,000 feet above sea level. b) Use a graphing utility to graph the function W h, m 120 . Draw a sketch of the graph below.