An environmental study indicates that the average daily level P of a certain pollutant in the air, in parts per million, can be modeled by the equation P(n) = 0.05V 0.7n² + Sn + 27 where n is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.) ppm/thousand residents

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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An environmental study indicates that the average daily level P of a certain pollutant in the air, in parts per million, can be modeled by the equation
P(n) = 0.05/ 0.7n2 + 5n + 27
where n is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.)
ppm/thousand residents
Transcribed Image Text:An environmental study indicates that the average daily level P of a certain pollutant in the air, in parts per million, can be modeled by the equation P(n) = 0.05/ 0.7n2 + 5n + 27 where n is the number of residents of the community, in thousands. Find the rate at which the level of pollutant is increasing when the population of the community is 14,000. (Round your answer to three decimal places.) ppm/thousand residents
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