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.

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.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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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