Asked by Emma
                The initial size of a culture of bacteria is 1000. After one hour the bacteria count is 4000.
(a) Find a function
n(t) = n0ert
that models the population after t hours.
n(t) =
b)Find the population after 1.5 hours. (Round your answer to the nearest whole number.)
n(1.5) = bacteria
            
        (a) Find a function
n(t) = n0ert
that models the population after t hours.
n(t) =
b)Find the population after 1.5 hours. (Round your answer to the nearest whole number.)
n(1.5) = bacteria
Answers
                    Answered by
            Damon
            
    n = 1000 e^(kt)
note when t = 0, e^kt = e^0 = 1
so 1000*1 at t =0
4000/1000 = 4 = e^(k*1)
or
e^k = 4
k = ln 4 = 1.386
so
n = 1000 e^ (1.386 t)
it t = 1.5
n = 1000 e^(2.079)
n = 8000
    
note when t = 0, e^kt = e^0 = 1
so 1000*1 at t =0
4000/1000 = 4 = e^(k*1)
or
e^k = 4
k = ln 4 = 1.386
so
n = 1000 e^ (1.386 t)
it t = 1.5
n = 1000 e^(2.079)
n = 8000
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.