Homework Help: Population growth

Posted by Sinha on Friday, June 22, 2012 at 10:44pm.

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
(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.

Population growth - bobpursley, Saturday, June 23, 2012 at 11:02am
What is your question about this?

Answer this Question

Related Questions

Maths B - Population Growth - The population P of a particular city, Metropia, ...
Maths B question - population - The population P of a particular city, Metropia...
Maths - The population P of a particular city, Metropia, is growing at a rate ...
Algebra - Solve. The population of a particular city is increasing at a rate ...
math - the population of a southern city follows the exponential law. If the ...
POPULATION - If a population consists of 10,000 individuals at time t=0 years (...
aadvanced functions HELP! - the population of a town is decreasing at a rate of ...
MATH - If a population consists of ten thousand individuals at time t=0 (P0), ...
college algebra HELP - The population of a city was 166 thousand at the begining...
algerbra - Pick a country of your choice that is experiencing population growth...

For Further Reading

First Name:
School Subject:
Answer: