Cost of Trans-Atlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by 36,000 C(x) = 100 + 10 where x is the groundspeed (airspeed t wind). (a) What is the cost when the groundspeed is 480 miles per hour? 600 miles per hour? (b) Find the domain of C. (c) Use a graphing utility 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 groundspeed minimizes the cost per passenger?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Cost of Trans-Atlantic Travel A Boeing 747 crosses the
Atlantic Ocean (3000 miles) with an airspeed of 500 miles
per hour. The cost C (in dollars) per passenger is given by
36,000
C(x) = 100 +
10
where x is the groundspeed (airspeed t wind).
(a) What is the cost when the groundspeed is 480 miles per
hour? 600 miles per hour?
(b) Find the domain of C.
(c) Use a graphing utility 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 groundspeed
minimizes the cost per passenger?
Transcribed Image Text:Cost of Trans-Atlantic Travel A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by 36,000 C(x) = 100 + 10 where x is the groundspeed (airspeed t wind). (a) What is the cost when the groundspeed is 480 miles per hour? 600 miles per hour? (b) Find the domain of C. (c) Use a graphing utility 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 groundspeed minimizes the cost per passenger?
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