1. A state charges polluters an annual fee of $20 per ton, for each ton of pollutant emitted into the atmosphere, up to a maximum of 4,000 tons. No fees are charged for emissions beyond the 4,000-ton limit. Let F(x) be piecewise-defined function for the fees charged for the emission of x tons of pollutant in a year. a) If the average fee per ton of pollution is given by A(x) = F(x)/x. Write a piecewise definition of A(x). b) What is the limit of A(x) as x approaches 4,000 tons? As x approaches 8,000 tons?

1. A state charges polluters an annual fee of $20 per ton, for each ton of pollutant emitted into the atmosphere, up to a maximum of 4,000 tons. No fees are charged for emissions beyond the 4,000-ton limit. Let F(x) be piecewise-defined function for the fees charged for the emission of x tons of pollutant in a year. a) If the average fee per ton of pollution is given by A(x) = F(x)/x. Write a piecewise definition of A(x). b) What is the limit of A(x) as x approaches 4,000 tons? As x approaches 8,000 tons?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...

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