Homework Help: Modeling Exponential Growth and Decay

Posted by Jake on Monday, December 19, 2011 at 12:24pm.

Information provided:

Whooping Crane Population Size 1940-1996

Year # Cranes
1940 22
1950 34
1960 33
1970 56
1980 76
1990 146
1991 132
1992 136
1993 143
1994 133
1995 158
1996 159

1.) Use exponential regression to find an exponential model of the data.
y= ae^(bx)

2.) Use your regression equation to give estimated numbers of whooping cranes in the US in 1940, 1960, and 1995. How do your results compare with the actual number?

3.) Calculate the average annual rate of increase in the whooping crane population from 1940 to 1960. Calculate the average annual rate of increase from 1960 to 1995. On which interval was the increase greater?

4.) Use your model to estimate the year in which the whooping crane population reached 100 birds.

5.) If your mode is correct, how many whooping cranes are alive in the year 2010?

-Any help is greatly appreciated!

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