question archive 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
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
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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)^t 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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