Biologists stocked a lake with 800fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be6400. The number of fish grew to 1050 in the first year.

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

P(t)=

b) How long will it take for the population to increase to3200(half of the carrying capacity)?

It will take____________ years.