A bacterial culture starts with 820 bacteria and grows at a rate proportional to its size. After 4 hours there will be 3280 bacteria.
1)Express the population, P(t) after t hours as a function of t.
Round your answer to 3 decimal places as needed
2)Using your equation from above, what will the population be after 7 hours?
Round your answer to 3 decimal places as needed
3)Using your equation from above, after how many hours will the population reach 2750 bacteria ?
Round your answer to 3 decimal places as needed