This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2010 was 12 million. (a) Find an exponential model n(t) = nae't for the population (in millions) t years after 2010. n(t) = | 120-012 (b) Estimate the fish population in the year 2015. (Round your answer to three decimal places.) million fish 4 (c) After how many years will the fish population reach 16 million? (Round your answer to one decimal place.) X yr (d) Sketch a graph of the fish population. n(t) n(t) (millions) (millions) 15 15 10 10 5 3 t O 5 10 15 20 25 O 3 10 15 20 i n(t) o (millions) (millions) o 15 15 10 10 5 5 5 10 15 20 25 | 9 L 10 15 20