Population Growth In 1960 in an article in Science maga- zine, H. Van Forester, P. M. Mora, and W. Amiot predicted that world population would be infinite in the year 2026. Their projection was based on the rational function defined by 1.79 x 10" p(t) (2026.87 – 1)a.9 where p(t) gives population in year 1. This function has pro- vided a relatively good fit to the population until very recently. Source: Science. (a) Estimate world population in 2014 using this function, and compare it with estimate of 7.244 billion. Source: United Nations. (b) What does the function predict for world population in 2025? 2030? (c) Discuss why this function is not realistic, despite its good fit to past data.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
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Population Growth In 1960 in an article in Science maga-
zine, H. Van Forester, P. M. Mora, and W. Amiot predicted
that world population would be infinite in the year 2026. Their
projection was based on the rational function defined by
1.79 x 10"
p(t)
(2026.87 – 1)a.9
where p(t) gives population in year 1. This function has pro-
vided a relatively good fit to the population until very recently.
Source: Science.
(a) Estimate world population in 2014 using this function,
and compare it with estimate of 7.244 billion. Source:
United Nations.
(b) What does the function predict for world population in
2025? 2030?
(c) Discuss why this function is not realistic, despite its good
fit to past data.
Transcribed Image Text:Population Growth In 1960 in an article in Science maga- zine, H. Van Forester, P. M. Mora, and W. Amiot predicted that world population would be infinite in the year 2026. Their projection was based on the rational function defined by 1.79 x 10" p(t) (2026.87 – 1)a.9 where p(t) gives population in year 1. This function has pro- vided a relatively good fit to the population until very recently. Source: Science. (a) Estimate world population in 2014 using this function, and compare it with estimate of 7.244 billion. Source: United Nations. (b) What does the function predict for world population in 2025? 2030? (c) Discuss why this function is not realistic, despite its good fit to past data.
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