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) 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? 9. In this course, we investigated polynomial, rational, exponential, logarithmic, sinusoidal, and other trigonometric functions. In your own words, describe a key feature of each type of function that differentiates it from the others.

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) 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? 9. In this course, we investigated polynomial, rational, exponential, logarithmic, sinusoidal, and other trigonometric functions. In your own words, describe a key feature of each type of function that differentiates it from the others.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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