1. example 2 U.S. Foreign-Born Population Chapter 6.1 The table gives the percents of U.S. population that were foreign born for the years 1900–2005. Years Foreign Born (%) Years Foreign Born (%) 190013.619605.4 191014.719704.8 192013.219806.2 193011.619908.0 19408.8200010.4 19506.9200511.7 The data can be modeled by the cubic function where y is the percent and x is the number of years after 1900.  2009 PBLPathways

2. The table gives the percents of U.S. population that were foreign born for the years 1900–2005. Years Foreign Born (%) Years Foreign Born (%) 190013.619605.4 191014.719704.8 192013.219806.2 193011.619908.0 19408.8200010.4 19506.9200511.7 The data can be modeled by the cubic function where y is the percent and x is the number of years after 1900.

3.  2009 PBLPathways a.Graph the data points and this function on the same axes, using the window [0, 110] by [0, 16]. b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954. c.Interpret the y-intercept of the graph of this function. d.Find the local maximum and the local minimum. What do these two points on the graph indicate? e.Over what interval is the function (and thus the percent) decreasing? What does this mean?

4.  2009 PBLPathways a.Graph the data points and this function on the same axes, using the window [0, 110] by [0, 16]. Years Foreign Born (%) Years Foreign Born (%) 190013.619605.4 191014.719704.8 192013.219806.2 193011.619908.0 19408.8200010.4 19506.9200511.7

5.  2009 PBLPathways a.Graph the data points and this function on the same axes, using the window [0, 110] by [0, 16]. Years after 1900 Foreign Born (%) Years after 1900 Foreign Born (%) 013.6605.4 1014.7704.8 2013.2806.2 3011.6908.0 408.810010.4 506.910511.7

6.  2009 PBLPathways a.Graph the data points and this function on the same axes, using the window [0, 110] by [0, 16].

7.  2009 PBLPathways b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954.

8.  2009 PBLPathways b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954. ?

9.  2009 PBLPathways b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954. ? 54

10.  2009 PBLPathways b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954. ? 54 6.79

11.  2009 PBLPathways b.Use the model and technology to find the approximate percent of the U.S. population that was foreign born in 1954. 54 6.79

12.  2009 PBLPathways c.Interpret the y-intercept of the graph of this function.

13.  2009 PBLPathways c.Interpret the y-intercept of the graph of this function. (0, 14.308)

14.  2009 PBLPathways d.Find the local maximum and the local minimum. What do these two points on the graph indicate?

15.  2009 PBLPathways d.Find the local maximum and the local minimum. What do these two points on the graph indicate? (1.50, 14.32) (72.72, 5.24)

16.  2009 PBLPathways e.Over what interval is the function (and thus the percent) decreasing? What does this mean? (1.50, 14.32) (72.72, 5.24)

17.  2009 PBLPathways e.Over what interval is the function (and thus the percent) decreasing? What does this mean? (1.50, 14.32) (72.72, 5.24)