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.