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 () = 1.48 + 99.4. The population of the town, in thousands, can be modelled by () = 15(1.098)^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. [3 marks]

b. What reasonable restrictions should be placed on the function's domain and range? [2 marks]

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. [3 marks]

 d. In which year will the concentration reach 185 ppm?