A bacteria culture starts with360 bacteria and grows at a rate proportional to its size. after 5 hours there will be 1800 bacteria..

(a) Express the population p after t hours as a function of t.

p(t)=________________

(b)What will be the population after 6 hours?

(c)How long will it take for the population to reach 2770?answer accurate to at least 2 decimal places.

______________