The following data represent the population of a country An ecologist is interested in building a model that describes the population (a) Treating the year as the independent variable and the population as the dependent variable, use a graphing utility to fit a logistic model from the data. Year, x Population, y 76,212.200 92,228,500 106,021,500 123 202,600 132,164,600 151,325,800 179,323,200 203,302,000 226,542.200 248, 709,900 281,421,900 Find the values for a, b and c in a logistic model of the form y= 1900 1910 -bx 1+ae 1920 1930 1940 1950 1960 1970 1980 1990 2000 (Use scientific notation. Round to five decimal places as needed) b- (Round to four decimal places as needed) (Round to one decimal place as needed.) (b) Graph the data together with the logistic function found in part (a) on a scatter agram Which graph correctly illustrates the logistic growth model for this data? OA. 20.000.000 Q 2010 76:000 000 O B. 2.0. 2010 2.000.000 Oc. 2010 71000 000

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The following data represent the population of a country An ecologist
is interested in building a model that describes the population
(a) Treating the year as the independent variable and the population as the
dependent variable, use a graphing utility to fit a logistic model from the data.
Population, y
76,212.200
92,228,500
106,021,500
123,202,600
132,164,600
151,325,800
179,323,200
203,302,000
226,542.200
248,709,900
281,421,900
Year, x
Find the values for a, b and c in a logistic model of the form y =
1900
1910
-bx
1+ae
1920
1930
1940
1950
1960
1970
1980
1990
2000
(Use scientific notation. Round to five decimal places as needed)
b-
(Round to four decimal places as needed)
(Round to one decimal place as needed.)
(b) Graph the data together with the logistic function found in part (a) on a scatter
diagram
Which graph correctly illustrates the logistic growth model for this data?
OA.
0.000.000
Q
2010
76000 000
O B.
20.
2010
16.000.000
OC.
2010
71.000 000
() Time Remaining: 00404
of
Transcribed Image Text:The following data represent the population of a country An ecologist is interested in building a model that describes the population (a) Treating the year as the independent variable and the population as the dependent variable, use a graphing utility to fit a logistic model from the data. Population, y 76,212.200 92,228,500 106,021,500 123,202,600 132,164,600 151,325,800 179,323,200 203,302,000 226,542.200 248,709,900 281,421,900 Year, x Find the values for a, b and c in a logistic model of the form y = 1900 1910 -bx 1+ae 1920 1930 1940 1950 1960 1970 1980 1990 2000 (Use scientific notation. Round to five decimal places as needed) b- (Round to four decimal places as needed) (Round to one decimal place as needed.) (b) Graph the data together with the logistic function found in part (a) on a scatter diagram Which graph correctly illustrates the logistic growth model for this data? OA. 0.000.000 Q 2010 76000 000 O B. 20. 2010 16.000.000 OC. 2010 71.000 000 () Time Remaining: 00404 of
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