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2. The population growth of a city during a ten year period is shown in the table. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Populatio people) -10 0 0 -4 -6 0 20 60 126 224 360 a. Sketch a graph of the data, using the years since 1990 as the values of the independent variable (with the year 1990 being x=0). b. If x represents the number of years since 1990 (with the year 1990 being x=0), write the polynomial function that models the data. c. Explain the trends in population growth of the city.

2. The population growth of a city during a ten year period is shown in the table. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Populatio people) -10 0 0 -4 -6 0 20 60 126 224 360 a. Sketch a graph of the data, using the years since 1990 as the values of the independent variable (with the year 1990 being x=0). b. If x represents the number of years since 1990 (with the year 1990 being x=0), write the polynomial function that models the data. c. Explain the trends in population growth of the city.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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2. The population growth of a city during a ten year period is shown in the table. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Population people) -10 0 0 -4 -6 0 20 60 126 224 360 a. Sketch a graph of the data, using the years since 1990 as the values of the independent variable (with the year 1990 being x=0). b. If x represents the number of years since 1990 (with the year 1990 being x=0), write the polynomial function that models the data. c. Explain the trends in population growth of the city.
Transcribed Image Text:2. The population growth of a city during a ten year period is shown in the table. Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Population people) -10 0 0 -4 -6 0 20 60 126 224 360 a. Sketch a graph of the data, using the years since 1990 as the values of the independent variable (with the year 1990 being x=0). b. If x represents the number of years since 1990 (with the year 1990 being x=0), write the polynomial function that models the data. c. Explain the trends in population growth of the city.
Population Growth (hundreds of people)
Transcribed Image Text:Population Growth (hundreds of people)
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