Wildlife biologists are tracking the population of albino deer in an upstate New York forest preserve. They record the population every year since 2005, which they consider to be t=0. Their data is shown in the table below.
(A) Although neither a linear nor an exponential function would model this data perfectly, justify why an exponential function would be a much better fit. Specifically, explain both why a linear function would not be a good fit while an exponential would be reasonable.
(B) Determine an equation for an exponential that models this data set in the form of P=a(b)^t.
(C) Use your model to predict the population of deer in the year 2014.
