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 exponential equation is: A=ao e ^ -kt

ao is the original amount

a is what the population will be

t is the amount of time

k is the rate of growth

  1. 👍
  2. 👎
  3. 👁
  1. I don't see why the exponent is negative since this an exponentional growth, the negative usually indicates decay.

    Anyway...
    I would use A = a (e^kt), where t is months
    using << the population doubled in size over an 18 month period >>
    2 = 1(e^18k)
    ln 2 = 18k
    k = ln 2/18

    so A = 1000 (e^(24*ln2/18))
    = 1000(2.51984)
    = 2520

    another way would be to use

    A = 1000(2)t/k and put in t=24
    A = 1000(2^1.3333333)
    = 2520

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  2. Calculus AB

    The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where p is the population size and t is the time in days (0

  3. Algebra

    The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. Use the exponential growth model to write an equation that estimates the population t years after 2010. Estimate the population of the

  4. 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

  1. statistics

    Suppose a random sample of size 50 is selected from a population with σ = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The

  2. algebra

    The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that the population growth follows an exponential model. If they are correct, what is the projected

  3. 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?

  4. Math

    a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a certain year. Write an exponential function to represent the city’s population, y, based on the number of

  1. Math

    If anyone does this lol idk but im not gonna look at this because im already done (with the first and second task) Task 1 Bacteria are the most common example of exponential growth. Research and find a bacterium that grows each

  2. 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

  3. Precalculus

    The population of a southern city follows the exponential law. If the population doubled over 20 months and the current population is 70,000, what will the population be 5 years from now

  4. Algebra

    Can someone please help on this portfolio? I've been stuck on it for several days and i've only got task 1 I chose Cape Coral for the population that increased, and Fort Lauderdale as the one that decreased. Task 2 a. Do some

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