A function of the form P(t) = abt represents the population (in millions) of the given country t years after January 1, 2000. a. Write an equivalent function using base e; that is, write a function of the form P(t) = POekt. Also, determine the population of each country for the year 2000. P(t) = ab' P(t) = Pge Population in 2000 Country Haiti P(t) = 8.5(1.0158)' Sweden P(t) = 9.0(1.0048)' b. The population of the two given countries is very close for the year 2000, but their growth rates are different. Use the model to approximate the year during which the population of each country would reach 10.5 million. c. Haiti had fewer people in the year 2000 than Sweden. Why would Haiti reach a population of 10.5 million sooner?

A function of the form P(t) = abt represents the population (in millions) of the given country t years after January 1, 2000. a. Write an equivalent function using base e; that is, write a function of the form P(t) = POekt. Also, determine the population of each country for the year 2000. P(t) = ab' P(t) = Pge Population in 2000 Country Haiti P(t) = 8.5(1.0158)' Sweden P(t) = 9.0(1.0048)' b. The population of the two given countries is very close for the year 2000, but their growth rates are different. Use the model to approximate the year during which the population of each country would reach 10.5 million. c. Haiti had fewer people in the year 2000 than Sweden. Why would Haiti reach a population of 10.5 million sooner?

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

A function of the form P(t) = abt represents the population (in millions) of the given country t years after January 1, 2000.
a. Write an equivalent function using base e; that is, write a function of the form P(t) = POekt. Also, determine the
population of each country for the year 2000.
P(t) = ab'
P(t) = Pge
Population
in 2000
Country
Haiti
P(t) = 8.5(1.0158)'
Sweden
P(t) = 9.0(1.0048)'
b. The population of the two given countries is very close for the year 2000, but their growth rates are different. Use the
model to approximate the year during which the population of each country would reach 10.5 million.
c. Haiti had fewer people in the year 2000 than Sweden. Why would Haiti reach a population of 10.5 million sooner?

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