Population Growth or Decline Flashcards
Population growth or decline based on past trends involves what concept?
the concept of finding the nᵗʰ term of a Geometric Sequence
What is the basic formula for population growth?
Pf = Pᵢ * rⁿ, where Pᵢ is the initial population, Pf is the final population (population at the desired time), and r is the population multiplication factor.
What is the formula for the multiplication factor r, if the percentage growth rate R is given?
r = (1 + R/100)
What is the formula for the exponent n?
n = (tf - tᵢ)/tᵣ, where tᵢ and tf are the times corresponding to Pᵢ and Pf, respectively; and tᵣ is the time over which the percentage growth R happens.
What else can the formula Pf = Pᵢ * rⁿ be used for?
it can be used for predicting population decline if R is the percentage rate of population decline
If the formula Pf = Pᵢ * rⁿ is used for population decline, what is the formula for the multiplication factor r?
r = (1 - R/100), which is less than 1
The population growth and decline concept can also be applied to what other type of problem?
finding the worth of an investment after a given time and with a certain annual or monthly rate of growth or decline