Part 1 The United States Census Bureau provided the following estimates and predic- tions for the total world population (* data from 2012, 2020-2050 numbers are predictions). Year Population 1950 2,556,518,868 1960 3,040,617,514 1970 3,707,921,742 1980 4,447,068,714 1990 5,274,320,491 2000 6,073,265,234 2010 6,838,220,183 2020* 7,608,075,253 2030* 8,295,925,812 2040* 8,897,180,403 2050* 9,404,296,384 Two major models used in predicting population growths are the Exponential Model P(t) = Poet and the Logistic Model k 1+ be-ct Let t= 0 represent the year 1950 and plot the given dataset in a graph with viewing dimensions [-10, 110] for the x-coordinate and [0, 10¹0] for the y-coordinate. P(t) =
Part 1 The United States Census Bureau provided the following estimates and predic- tions for the total world population (* data from 2012, 2020-2050 numbers are predictions). Year Population 1950 2,556,518,868 1960 3,040,617,514 1970 3,707,921,742 1980 4,447,068,714 1990 5,274,320,491 2000 6,073,265,234 2010 6,838,220,183 2020* 7,608,075,253 2030* 8,295,925,812 2040* 8,897,180,403 2050* 9,404,296,384 Two major models used in predicting population growths are the Exponential Model P(t) = Poet and the Logistic Model k 1+ be-ct Let t= 0 represent the year 1950 and plot the given dataset in a graph with viewing dimensions [-10, 110] for the x-coordinate and [0, 10¹0] for the y-coordinate. P(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Part 1 The United States Census Bureau provided the following estimates and predic-
tions for the total world population (* data from 2012, 2020-2050 numbers are predictions).
Year Population
1950 2,556,518,868
1960 3,040,617,514
1970 3,707,921,742
1980 4,447,068,714
1990 5,274,320,491
2000 6,073,265,234
2010 6,838,220,183
2020* 7,608,075,253
2030* 8,295,925,812
2040* 8,897,180,403
2050* 9,404,296,384
Two major models used in predicting population growths are the Exponential Model
P(t) = Poet
and the Logistic Model
P(t)=
k
1+ be-ct
Let t= 0 represent the year 1950 and plot the given dataset in a graph with viewing
dimensions [-10, 110] for the r-coordinate and [0, 1010] for the y-coordinate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3643560-18bb-4a63-a8f2-a6d53b45c696%2F2c439f12-b296-4bf7-b204-cb9fb9cf90f1%2F7ggkawp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part 1 The United States Census Bureau provided the following estimates and predic-
tions for the total world population (* data from 2012, 2020-2050 numbers are predictions).
Year Population
1950 2,556,518,868
1960 3,040,617,514
1970 3,707,921,742
1980 4,447,068,714
1990 5,274,320,491
2000 6,073,265,234
2010 6,838,220,183
2020* 7,608,075,253
2030* 8,295,925,812
2040* 8,897,180,403
2050* 9,404,296,384
Two major models used in predicting population growths are the Exponential Model
P(t) = Poet
and the Logistic Model
P(t)=
k
1+ be-ct
Let t= 0 represent the year 1950 and plot the given dataset in a graph with viewing
dimensions [-10, 110] for the r-coordinate and [0, 1010] for the y-coordinate.
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