For the following exercises, model the described behavior and find requested values. An

For the following exercises, model the described behavior and find requested values. 

An invasive species of carp is introduced to Lake Freshwater. Initially there are 100 carp in the lake and the population varies by 20 fish seasonally. If by year 5, there are 625 carp, find a function modeling the population of carp with respect to t, the number of years from now.