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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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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?
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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