"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/8+ 40,000/x where x is the ground
speed (airspeed ± wind). (a) What is the cost when the ground
speed is 360 miles per hour; 480 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 ΔTbl=50. (e) To
the nearest 50 miles per hour, what ground speed minimizes the
cost per passenger?
Answers
Answer:
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 (a) The cost is $ when the ground speed is 470. (Round to the nearest dollar as needed.) x 34,000 C(x) = 50+ The cost is $ when the ground speed is 590. (Round to the nearest dollar as needed.) where x is the ground speed (airspeed = wind). (b) What is the domain of C(x)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (a) What is the cost when the ground speed is 470 miles per hour; 590 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 TbiStart = 0 and ATbl = 50. (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger? O A. The domain is all real numbers. OB. The domain is {xl (Type an inequality.) (c) Graph C for 0 sxs 1000 and 0 sys 1000 using a graphing utility. Which of the following is the graph of C? O A. O c. (d) Create a TABLE as described, withTblStart = 0 and ATbl = 50. Complete the following table with the table values from your graphing calculator. 450 500 550 600 (Round to two decimal places as needed.) (e) To the nearest 50 miles per hour, what ground speed minimizes the cost per passenger? The cost per passenger is minimized at miles per hour.