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The populations of two countries are given for January 1, 2000, and for January 1, 2010. Part 1 of 3 (a) Write a function of the form P (t) = Poe" to model each population P (t) (in millions) t years after January 1, 2000. Round the value of k to five decimal places. Country Population Population P (t) = Pekt in 2000 in 2010 (millions) ( millions) 0.01735 t Australia 19.0 22.6 P (t = 19e 0.00343 t Taiwan 22.9 23.7 P t = 22.9e(c) Use the models from part (a) to predict the year during which each population would reach 30 million if this trend continues. If this trend continues Australia's population would reach 30 million in the year I I. X 5) If this trend continues Taiwan's population would reach 30 million in the year I I. The population of the Canada P (t) (in millions) since January 1, 1900, can be approximated by 55.4 P t = 1 + 9 8 0.0252 ' Where i is the number of years since January 1, 1900. Canadian Population by Year 60 y = P(t) Population (millions) 0 50 100 150 200 250 300 Year (t = 0 represents 1900)Part4of6 (d) From the model, during which year would the Canadian population reach 40 million? The model approximates that the Canadian population will reach 40 million during the year ' l