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 Pt) = 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 Pt) = 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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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