1. example 4 Foreign-Born Population Chapter 6.2 The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table. YearPercent 190 0 13.6 191 0 14.7 192 0 13.2 193 0 11.6 194 0 8.8 195 0 6.9 196 0 5.4 197 0 4.8 198 0 6.2 199 0 8.0 200 0 10.4 200 5 11.7 a.Create a scatter plot for the data, using the number of years after 1900 as the input x and the percent as the output y. b.Find a cubic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. c.Find a quartic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. d.Use the graphs of the equations reported in parts (b) and (c) to determine which function is the better fit for the data.  2009 PBLPathways

2. YearPercent 190 0 13.6 191 0 14.7 192 0 13.2 193 0 11.6 194 0 8.8 195 0 6.9 196 0 5.4 197 0 4.8 198 0 6.2 199 0 8.0 200 0 10.4 200 5 11.7 a.Create a scatter plot for the data, using the number of years after 1900 as the input x and the percent as the output y. b.Find a cubic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. c.Find a quartic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. d.Use the graphs of the equations reported in parts (b) and (c) to determine which function is the better fit for the data. The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

3.  2009 PBLPathways YearPercent 190 0 13.6 191 0 14.7 192 0 13.2 193 0 11.6 194 0 8.8 195 0 6.9 196 0 5.4 197 0 4.8 198 0 6.2 199 0 8.0 200 0 10.4 200 5 11.7 a.Create a scatter plot for the data, using the number of years after 1900 as the input x and the percent as the output y. The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

4.  2009 PBLPathways Years after 1900 Percent 013.6 1014.7 2013.2 3011.6 408.8 506.9 605.4 704.8 806.2 908.0 10010.4 10511.7 a.Create a scatter plot for the data, using the number of years after 1900 as the input x and the percent as the output y. The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

5.  2009 PBLPathways Years after 1900 Percent 013.6 1014.7 2013.2 3011.6 408.8 506.9 605.4 704.8 806.2 908.0 10010.4 10511.7 a.Create a scatter plot for the data, using the number of years after 1900 as the input x and the percent as the output y. x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

6.  2009 PBLPathways b.Find a cubic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

7.  2009 PBLPathways b.Find a cubic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

8.  2009 PBLPathways b.Find a cubic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

9.  2009 PBLPathways c.Find a quartic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

10.  2009 PBLPathways c.Find a quartic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

11.  2009 PBLPathways c.Find a quartic function to model the data and graph the function on the same axes with the data points. Round coefficients to seven decimal places. x y The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.

12.  2009 PBLPathways d.Use the graphs of the equations reported in parts (b) and (c) to determine which function is the better fit for the data. x y x y Cubic Function Quartic Function x The percents of U.S. population that were foreign born for selected years during 1900–2005 are shown in the table.