. 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 neighbouring town is given by C(P) = 1.38P + 97.4. The population of the town, in thousands, can be modelled 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. What reasonable restrictions should be placed on the function s domain and range? c. The first measurement was taken in January 2018. Adapt the formula in part (a) to create an equation for the concentration as a function of the number of months since January 2020. d. In which year will the concentration reach 180 ppm?
. 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 neighbouring town is given by C(P) = 1.38P + 97.4. The population of the town, in thousands, can be modelled 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. What reasonable restrictions should be placed on the function s domain and range? c. The first measurement was taken in January 2018. Adapt the formula in part (a) to create an equation for the concentration as a function of the number of months since January 2020. d. In which year will the concentration 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
neighbouring town is given by C(P) = 1.38P + 97.4. The population of the town, in
thousands, can be modelled 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. What reasonable restrictions should be placed on the function s domain and
range?
c. The first measurement was taken in January 2018. Adapt the formula in part (a)
to create an equation for the concentration as a function of the number of months
since January 2020.
d. In which year will the concentration reach 180 ppm?
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