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
(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
(b) If the population of Metropia was 1,000,000 in 2005 (at t = 0) and 1,072,500
in 2007, determine the values of A and k and hence write an equation to model
Metropia’s population with respect to time.
(c) Predict the population of Metropia in the year 2012.
(d) Determine the expected length of time it would take for the population of Metropia
to double.

  1. 👍 0
  2. 👎 0
  3. 👁 304
  1. What is your question about this?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The population of a southern city follows the exponential law. If the population doubled in size over 13 months and the current population is 30,000 what will the population be in 5 years from now?

  2. physics-speed

    i need help with this one thanks A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to: a. sq. root t b. t c. t^2

  3. Trigonometry

    The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size? Which are

  4. Math

    the population of new york city doubles during the workday. at the end of the workday, the population decreases by half. if the population in new york city is roughly 4,000,000 people before rush hour, and morning rush hour lasts

  1. algebra

    The population for a city is 39,194 and grows continuously at a rate of 6.9% each year. What is the approximate population in 17 years? My answer is 121,854

  2. 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? the equation for the

  3. Math

    7) A population of ants is growing at a rate of 8% a year. If there are 160 ants in the initial population, find the number of ants after 6 years.

  4. Calculus

    The population of a colony of bacteria is modeled by the function p(x)=50(e^-x - e^-x^2)+10 ,for 0 ≤ x, where population P is in thousands, x is in hours, and x = 0 corresponds to the moment of introduction of a certain chemical

  1. Pre Calculus

    17. population growing at an annual rate r will triple in a time t given by the formula t = ln 3/r If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? a. 6 . 6

  2. Calculus

    Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.21 percent a year and that the 1988 population was 6.8 million, write an expression for the population as a function of time in years. (Let

  3. Math

    The population of New York doubles during the workday. At the end of the workday, the population decreases by half. If the population in New York City is roughly 4,000,000 people before rush hour, and the morning rush hour lasts 3

  4. Math

    23. Suppose the number of expert gamers in California is 52,400 and is growing 20% each year. Predict the number of experts after 5 years. 24. The population of bacteria in your messy room is 36,725 and is growing at a rate of 11%

You can view more similar questions or ask a new question.