1. example 6 Personal Savings Chapter 1.2 Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. (Source: U.S. Census Bureau) a.Choose an appropriate window and graph the function with a graphing calculator. b.Use the model to estimate the personal savings rate in 2006. Is this possible? c.Use the graph to estimate the year in which the personal savings rate is a maximum.  2009 PBLPathways

2. Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. a.Choose an appropriate window and graph the function with a graphing calculator. Input the function 1.Press the  key below the screen. 2.Position the cursor on \Y1 =. 3.Press  .

3.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. a.Choose an appropriate window and graph the function with a graphing calculator. Determine the window 4.Press . 5.Set TblStart=0 and  Tbl=5. This will start the table at x = 0 and create values in increments of 5. 6.Set Indpnt and Depend to Auto so that values will be found automatically. Press .

4.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. a.Choose an appropriate window and graph the function with a graphing calculator. Set the window 7.Press . 8.Set Xmin=0, Xmax=50, and Xscl=10. 9.Also set Ymin=-2, Ymax=10 and Yscl=1.

5.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. a.Choose an appropriate window and graph the function with a graphing calculator. Graph the function 10.To see the function, press .

6.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. b.Use the model to estimate the personal savings rate in 2006. Is this possible? Evaluate the function 11.To find a value on this function, press . 12.To find the value of the function in 2006, press .

7.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. c.Use the graph to estimate the year in which the personal savings rate is a maximum. Find the maximum 13.Press  to access the CALC menu. 14.Use  to scroll down to maximum or press .

8.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. c.Use the graph to estimate the year in which the personal savings rate is a maximum. 15.Use  to move the cursor to a point on the left of the maximum. Press . This is the left bound of where the calculator will look for the maximum. 16.Use  to move the cursor to a point on the right of the maximum. Press . This is the right bound of where the calculator will look for the maximum.

9.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. c.Use the graph to estimate the year in which the personal savings rate is a maximum. 17.Use  to move the cursor to a point near the maximum. Press . This is where the calculator will begin to look for the maximum.

10.  2009 PBLPathways Using data from 1960 to 2006, the personal savings rate (as a percent) of Americans can be modeled by the function where x is the number of years after 1960. c.Use the graph to estimate the year in which the personal savings rate is a maximum. 17.Use  to move the cursor to a point near the maximum. Press . This is where the calculator will begin to look for the maximum. This indicates that the maximum occurred approximately 12.9 years after 1960 or in 1972. The maximum personal savings rate was about 8.4%.