Gray wolves in Michigan: Gray wolves recolonized in the Upper Peninsula of Michigan beginning in 1990. Their population has been documented as shown in the accompanying table.49 a. Explain why one...

Gray wolves in Michigan: Gray wolves recolonized in the Upper Peninsula of Michigan beginning in 1990. Their population has been documented as shown in the accompanying table.49

a. Explain why one would expect an exponential model to be appropriate for these data.

b. Find an exponential model for the data given.

c. Graph the data and the exponential model. Would it be better to use a piecewise-defined function?

d. Find an exponential model for 1990 through 1996 and another for 1997 through 2000.

e. Write a formula for the number of wolves as a piecewise-defined function using the two exponential models. Is the combined model a better fit?