China's population in 1980 was 983 million; in 1990, it was 1,154 million. (a) Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round the coefficient of t to seven decimal places.) p(t) = ? (b) The following model represents Africa's population in millions, where t is the number of years after 1990. p(t) = 643e0.0210939t Use this and the model in part (a) to predict when Africa's population will exceed China's. (Round your answer to the nearest year.) Africa's population will have exceeded China's in the year _?__.
China's population in 1980 was 983 million; in 1990, it was 1,154 million. (a) Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round the coefficient of t to seven decimal places.) p(t) = ? (b) The following model represents Africa's population in millions, where t is the number of years after 1990. p(t) = 643e0.0210939t Use this and the model in part (a) to predict when Africa's population will exceed China's. (Round your answer to the nearest year.) Africa's population will have exceeded China's in the year _?__.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 65E
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China's population in 1980 was 983 million; in 1990, it was 1,154 million.
(a) Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round the coefficient of t to seven decimal places.)
p(t) = ?
(b) The following model represents Africa's population in millions, where t is the number of years after 1990.
p(t) = 643e0.0210939t
Use this and the model in part (a) to predict when Africa's population will exceed China's. (Round your answer to the nearest year.)
Africa's population will have exceeded China's in the year _?__.
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