In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion. (a) Develop the mathematical model that represents world population. (Write your model in terms of t, where t is the number of years after 1990. Let p represent the world population in billions. Round the coefficient of t to seven decimal places.)
In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion. (a) Develop the mathematical model that represents world population. (Write your model in terms of t, where t is the number of years after 1990. Let p represent the world population in billions. Round the coefficient of t to seven decimal places.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 14P
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In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion.
(a) Develop the mathematical model that represents world population. (Write your model in terms of t, where t is the number of years after 1990. Let p represent the world population in billions. Round the coefficient of t to seven decimal places.)
(b) Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion. (Round your answer to the nearest whole number.)
p(t) = ?
? years after 1990
(c) Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion. (Round your answer to the nearest whole number.)
(c) Use the model to predict when world population would reach "the earth's ultimate carrying capacity" of 30 billion. (Round your answer to the nearest whole number.)
? years after 1990
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