posted by .

The size of a bacteria population is given by P=C*e^(kt) Where C is the initial size of the population, k is the growth rate constant and t is time in minutes.
a) If the bacteria in the population double their number every minute, what is the value of k?

I need help please!

  • Math -

    Take natural log
    k=ln(2)=0.6931 approx.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    i have this question the population fucntion of bacteria is observed to be f(t)=C e^2t where C is some constant. if after one hour a scientist abserves the growth rate to be 744 bacteria/hour what was the initial bacteria population. …
  2. Calculus

    Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the following function. P = f(t) = 3t^2 + 2t + 1 Find the rate of population growth at …
  3. math

    2. A bacteria population grows exponentially with growth rate k=2.5 how long it would take for the bacteria population to double its size?
  4. math

    Katrina is studying the effect of foreign substances on bacteria populations. If she introduces a beneficial substance, such as food, the bacteria population grows. If she introduces a harmful substance, such as a poison, the bacteria …
  5. AP CALC

    At any time t=>0 , in days, the rate of growth of a bacteria population is given by y' = ky, where y is the number of bacteria present and k is a constant. The initial population is 1500 and the population quadrupled during the …
  6. Calculus

    The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9, where P is the population size and t is the time in days (0¡Üt¡Ü10). The initial size of the population …
  7. calculus

    The population of a culture of bacteria, P(t), where t is time in days, is growing at a rate that is proportional to the population itself and the growth rate is 0.3. The initial population is 40. (1) What is the population after 30 …
  8. algebra

    In an experiment, the population P of bacteria is given by P=1000e^kt,where k is constant.If the size of population bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?
  9. Math/Pre-calculus

    Assume that the number of bacteria follows an exponential growth model: P(t)=P0e^k/t. The count in the bacteria culture was 400 after 10 minutes and 1500 after 35 minutes. (a) What was the initial size of the culture?
  10. Calculus

    I need some help with this Calculus problem. A bacteria population starts with 500 bacteria and grows at a rate of r(t) = 548e^6.5t bacteria per hour. A. Determine the function P(t) which gives the population at time t. C. How long …

More Similar Questions