Maths B question - population

posted by .

The population P of a particular city, Metropia, is growing at a rate proportional to the
current population.
The population at time t years is modelled by the equation P = Aekt where A and k are
constants.
(a) With the aid of appropriate examples, explain how the growth of P over time
would be influenced by:
(i) The magnitude of A
(ii) The magnitude of k
(iii) The sign of k

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the population of a southern city follows the exponential law. If the population doubled in size over an 18 month period and the current population in 10000, what will be the population 2 years from now?
  2. aadvanced functions HELP!

    the population of a town is decreasing at a rate of 1.8% per year. The current population of the own in 12000. a)write and equation that models the population of the town b)how long will it take for the population to decline to one …
  3. Algebra

    Solve. The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke^0.12t where k is a constant and t is the time in years. If the current population is 15,000, in how …
  4. Population growth

    The population P of a particular city, Metropia, is growing at a rate proportional to the current population. The population at time t years is modelled by the equation P = Aekt where A and k are constants. (a) With the aid of appropriate …
  5. Maths B - Population Growth

    The population P of a particular city, Metropia, is growing at a rate proportional to the current population. The population at time t years is modelled by the equation P=¡¼Ae¡½^kt where A and k are constants. With the aid of appropriate …
  6. Maths

    The population P of a particular city, Metropia, is growing at a rate proportional to the current population. The population at time t years is modelled by the equation P=Ae^kt where A and k are constants. With the aid of appropriate …
  7. TRIG

    the population of a certain city is 1.3 million people. if the population is growing at the rate of 4% per year what will the population be in 8 years
  8. Calculs I

    A bacterial population grows at a rate proportional to the population size at time t. Let y(t) be the population size at time t. By experiment it is determined that the population at t=15 min is 16000 and at t=45 min it is 22000. (a) …
  9. Calculus

    The rate of growth of a particular population is given by dP/dt=50t^2-100t^3/2 where P is the population size and t is the time in years. The initial population is 25,000. Find the population function. Estimate how many years it will …
  10. 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 …

More Similar Questions