The populations of two countries are given for January 1, 2000, and for January 1, 2010. a. Write a function of the form P(t) = POekt to model each population P(t) (in millions) t years after January 1, 2000. Population in 2000 (millions) Population in 2010 (millions) Country P(t) = Pgekt Australia 19.0 22.6 Taiwan 22.9 23.7 b. Use the models from part (a) to approximate the population on January 1, 2020, for each country. Round to the nearest hundred thousand. C. Australia had fewer people than Taiwan in the year 2000, yet from the result of part (b), Australia would have more people in the year 2020? Why? d. Use the models from part (a) to predict the year during which each population would reach 30 million if this trend continues.

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