v² The cost per hour for fuel to run a train is dollars, where v is the speed of the train in miles per hour. (Note that the cost goes up as the square of the speed.) Other costs, including labor, are $420 per hour. How fast should the train travel on a 360-mile trip to minimize the total cost for the trip? Write the total cost C as a function of the speed v. C(v) = (Use integers or fractions for any numbers in the expression.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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,,2
cost per hour for fuel to run a train is
The
dollars, where v is the speed of the train in miles per hour. (Note that the cost goes up as the square of the speed.) Other costs, including labor, are $420 per hour. How fast should the
train travel on a 360-mile trip to minimize the total cost for the trip?
Write the total cost C as a function of the speed v.
C(v) =
(Use integers or fractions for any numbers in the expression.)
C
Transcribed Image Text:,,2 cost per hour for fuel to run a train is The dollars, where v is the speed of the train in miles per hour. (Note that the cost goes up as the square of the speed.) Other costs, including labor, are $420 per hour. How fast should the train travel on a 360-mile trip to minimize the total cost for the trip? Write the total cost C as a function of the speed v. C(v) = (Use integers or fractions for any numbers in the expression.) C
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