The initial size of a culture of bacteria is 1500. After 1 hour the bacteria count is 12000.

Question

(a) Find a function
n(t) = n0e^rt
that models the population after t hours. (Round your r value to five decimal places.)
n(t) =
(b) Find the population after 1.5 hours. (Round your answer to the nearest whole number.)
After how many hours will the number of bacteria reach 17,000? (Round your answer to one decimal place.)

Answer 1

clearly,

n(t) = 1500*(12000/1500)^t
= 1500*8^t
= 1500 e^(2.07944t)