Question

A long time ago, a pair of deer swam from Tiburon to Angel Island. Since the deer had
no natural predators on the island, the deer population grew by 15% every decade. Construct a function for the growth of the deer population on Angel Island, where t represents the number of years.

Answer 1

y= 2 + .15(T + N - 10)

2 is the initial amount of deer, which is the PAIR of Deer that came over. (Remember to be very careful in finding out what information they are telling you that you can use). Y is this years poulation numbers (the function only works if it is per decade.)T is the number of years and N is the number of the previous population numbers. So the function only works when T equals 10, which is every time there is a decade. So when T equals 10 it would cancel the 10 being subtracted from N. So the function would come out to Y = 2 + .15(N). So then we just plug in the previous population numbers of the year before for N and get our value.

Answer 2

how would you turn that into an exponential function?