# Modeling Exponential Growth and Decay

posted by
**Jake** on
.

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!