1. example 6 Female Workers
The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Year
1970
1975
1980
1985
1990
1995
2000
2005
2006
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Find a logarithmic function that models these data. Align the input to be the number of years after 1960.
Graph the equation and the aligned data points. Comment on how the model fits the data.
Assuming that the model is valid in 2010, use it to estimate the percent of female workers in 2010.
Chapter 5.4
2009 PBLPathways

2. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Year
1970
1975
1980
1985
1990
1995
2000
2005
2006
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Find a logarithmic function that models these data. Align the input to be the number of years after 1960.
Graph the equation and the aligned data points. Comment on how the model fits the data.
Assuming that the model is valid in 2010, use it to estimate the percent of female workers in 2010.

3. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Year
1970
1975
1980
1985
1990
1995
2000
2005
2006
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Find a logarithmic function that models these data. Align the input to be the number of years after 1960.
2009 PBLPathways

4. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Find a logarithmic function that models these data. Align the input to be the number of years after 1960.
2009 PBLPathways

5. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Find a logarithmic function that models these data. Align the input to be the number of years after 1960.
2009 PBLPathways

6. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Graph the equation and the aligned data points. Comment on how the model fits the data.
2009 PBLPathways

7. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Graph the equation and the aligned data points. Comment on how the model fits the data.
2009 PBLPathways

8. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Assuming that the model is valid in 2010, use it to estimate the percent of female workers in 2010.
2009 PBLPathways

9. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Assuming that the model is valid in 2010, use it to estimate the percent of female workers in 2010.
2009 PBLPathways

10. The percent of all workers who are female during selected years from 1970 to 2006 is
given in the table.
Years after 1960 10 15 20 25 30 35 40 45 46
Percent of Workers Who Are Female
30.0
31.9
35.3
37.9
37.2
40.3
41.2
41.3
41.5
Assuming that the model is valid in 2010, use it to estimate the percent of female workers in 2010.
(50,42.5)
2009 PBLPathways