Calculus :)

posted by .

The number of bacteria in a culture is modeled by n(t)=1550e^(0.24t)
(a) The initial number of bacteria is _____
(b) The relative rate of growth of this bacterium population is _____
(c) The number of bacteria after 3 hours is _____
(d) After how many hours will the number of bacteria reach 10,000? _____

  • Calculus :) -

    (a) n(t) = 1550 (when t = 0)
    (b) relative to what?
    (c) If t is in hours in the equation, plug in t = 3 and calculate
    (d) Solve 10,000 = 1550 e^0.24t for t
    0.24 t = ln6.452 = 1.864
    t = ____

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    I'm not sure how to do this question 7. The growth of bacteria in culture can be described by the equation N1 = N0e' where N is the number of bactena at any time t, No is the initial number of bacteria, and k is a constant. The time …
  2. Precalculus

    NEED HELP ASAP PLEASE!! A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours. a) A function that models the number of bacteria after t hours is p(t)=____________?
  3. Calc

    The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential …
  4. MATH :)

    3. In Biology, it is found that the bacteria in a certain culture double every half-hour. If the initial number of bacteria in culture is 1000, A. Find the defining equation for the number N of bacteria in culture after T hours, assuming …
  5. math

    The number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours …
  6. Math

    he number of bacteria in a culture is modeled by n(t)=1710e071t (a) The initial number of bacteria is (b) The relative rate of growth of this bacterium population is (c) The number of bacteria after 3 hours is (d) After how many hours …
  7. math

    The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (a) The initial number of bacteria is: (b) The relative rate of growth of this bacterium population is: (c) The number of bacteria after 3 hours is: (d) After …
  8. College Algebra

    The number of bacteria in a certain culture increased from 500 to 1000 between 7:00 A.M. and 9:00 A.M. Assuming growth is exponential, the number f(t) of bacteria t hours after 7:00 A.M. is given by f(t) = 500(2)^t/2. (a) Estimate …
  9. Calculus (math)

    A bacteria culture grows with constant relative growth rate. The bacteria count was 784 after 2 hours and 117649 after 6 hours. What is the relative growth rate?
  10. Urgent math

    population growth model. Can anybody please help me out in trying to solve this problem?

More Similar Questions