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) = 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. 1.38P+97.4. The population of people 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
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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 ppma
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 ppma
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