Calculus

Suppose that a population of bacteria triples every hour and starts with 700 bacteria.
(a) Find an expression for the number n of bacteria after t hours.

n(t) = ?


(b) Estimate the rate of growth of the bacteria population after 1.5 hours. (Round your answer to the nearest hundred.)
n'(1.5) = ?

asked by Alex
  1. afdaf

    posted by tre
  2. A population starts with 1000 individuals and triples every 80 years.

    a. give an exponential model for this situation

    b. what is the size of the population after 100 years?

    posted by nice

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    I just need help with one question. A bacteria population starts with 500 bacteria and grows at a rate of r(t) = 548e^(6.5t) bacteria per hour. Determine the number of bacteria after 1 hour. Thank you!
  2. calculus

    A bacteria culture starts with 900 bacteria and the population doubles every 4 hours. Find an expression for the number of bacteria after t hours.
  3. precalculus

    A bacteria culture initially contains 1500 bacteria and doubles every half hour. a) Find an expression for the number of bacteria after t hours. Q(t)= b) The number of bacteria after 20 minutes is (the answer must be an integer)
  4. 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
  5. Math

    A certain type of bacteria is growing at an exponential rate that can be modeled by the equation y=ae^kt, where t represents the number of hours. There are 300 bacteria initially, and 1500 bacteria 5 hours later. Find the rate of
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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? What was the initial size of the culture? Find an expression for the

More Similar Questions