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?

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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Unit name: Characteristics of function

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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