19. 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) = Pge" to model each population P(t) (in millions) f years after January 1, 2000. (See Example 3) Population in 2000 (millions) Population in 2010 (millions) Country P(t) = P 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.
19. 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) = Pge" to model each population P(t) (in millions) f years after January 1, 2000. (See Example 3) Population in 2000 (millions) Population in 2010 (millions) Country P(t) = P 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.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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Transcribed Image Text:19. 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) = Pge" to model
each population P(t) (in millions) f years after
January 1, 2000. (See Example 3)
Population
in 2000
(millions)
Population
in 2010
(millions)
Country
P(t) = P
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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