8. A marine biologist measures the presence of a pollutant in an ocean and concludes that the concentration, C, in parts per million (ppm), as a function of the population, P, of the people who visit the beach is given by C(P) 1.38P+97.4. The population of people visiting the beach, in thousands, can be modeled by P(t) = 12 (1.078)' where t is the time in years since the first measurement. a. Determine an equation, in simplified form, for the concentration of pollutant as a function of the number of years since the first measurement. b. How long (to the nearest year) will it take for the concentration to reach 180 ppm?
8. A marine biologist measures the presence of a pollutant in an ocean and concludes that the concentration, C, in parts per million (ppm), as a function of the population, P, of the people who visit the beach is given by C(P) 1.38P+97.4. The population of people visiting the beach, in thousands, can be modeled by P(t) = 12 (1.078)' where t is the time in years since the first measurement. a. Determine an equation, in simplified form, for the concentration of pollutant as a function of the number of years since the first measurement. b. How long (to the nearest year) will it take for the concentration to reach 180 ppm?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:8. A marine biologist measures the presence of a pollutant in an ocean and concludes that
the concentration, C, in parts per million (ppm), as a function of the population, P, of the
people who visit the beach is given by C(P) = 1.38P+97.4. The population of people
visiting the beach, in thousands, can be modeled by P(t) = 12(1.078) where t is the
time in years since the first measurement.
a. Determine an equation, in simplified form, for the concentration of pollutant as a
function of the number of years since the first measurement.
b. How long (to the nearest year) will it take for the concentration to reach 180 ppm?
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