Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be3700. The number of fish grew to 680 in the first year.

a)Find an equation for the number of fishP(t)

aftertyears

P(t)=

.

b) How long will it take for the population to increase to1850

(half of the carrying capacity)?

It will take___________years.