Sequences -- Population Models -- Answers

1.     1     1000.00    6     1276.28
       2     1050.00    7     1340.10
       3     1102.50    8     1407.10
       4     1157.62    9     1477.46
       5     1215.51   10     1551.33
   

2.     1      100.00    6      161.05
       2      110.00    7      177.16
       3      121.00    8      194.87
       4      133.10    9      214.36
       5      146.41   10      235.79
   

3.     1      500.00    6      295.25
       2      450.00    7      265.72
       3      405.00    8      239.15
       4      364.50    9      215.23
       5      328.05   10      193.71
   

4. Because this model is an exponential model we can compute

   R = P(2)/P(1) = 1.05

   Now

       1     1000.00    6     1276.28
       2     1050.00    7     1340.10
       3     1102.50    8     1407.10
       4     1157.62    9     1477.46
       5     1215.51   10     1551.33
   

5. Because this model is an exponential model we can compute

   R = P(2)/P(1) = 0.90

   Now

       1      500.00    6      295.25
       2      450.00    7      265.72
       3      405.00    8      239.15
       4      364.50    9      215.23
       5      328.05   10      193.71
   

6. North Comstock will need to start importing food in the year 2001. The figures in the table below are millions.

        1995   18.00     2000   18.92
        1996   18.18     2001   19.11
        1997   18.36     2002   19.30
        1998   18.55     2003   19.49
        1999   18.73     2004   19.69
   

7. Because the concentration of Agent Yuck will be above the legal limit for swimming for 7 years (1990-1996) the company will be fined $700,000. The figures in the table below are in parts per million.

        1990   10.00     1995    5.90
        1991    9.00     1996    5.31
        1992    8.10     1997    4.78
        1993    7.29     1998    4.30
        1994    6.56     1999    3.87
   

8. Because the concentration of Agent Yuck will be above the legal limit for swimming for 17 years (1990-2006) the company will be fined $1,700,000. The figures in the table below are in parts per million.

        1990   10.00     1995    5.90     2000    3.49     2005    2.06
        1991    9.00     1996    5.31     2001    3.14     2006    1.85
        1992    8.10     1997    4.78     2002    2.82     2007    1.67
        1993    7.29     1998    4.30     2003    2.54     2008    1.50
        1994    6.56     1999    3.87     2004    2.29     2009    1.35