Population Growth or Decline

Question 1

Population growth or decline based on past trends involves what concept?

Answer 1

the concept of finding the nᵗʰ term of a Geometric Sequence

Question 2

What is the basic formula for population growth?

Answer 2

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.

Question 3

What is the formula for the multiplication factor r, if the percentage growth rate R is given?

Answer 3

r = (1 + R/100)

Question 4

What is the formula for the exponent n?

Answer 4

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.

Question 5

What else can the formula Pf = Pᵢ * rⁿ be used for?

Answer 5

it can be used for predicting population decline if R is the percentage rate of population decline

Question 6

If the formula Pf = Pᵢ * rⁿ is used for population decline, what is the formula for the multiplication factor r?

Answer 6

r = (1 - R/100), which is less than 1

Question 7

The population growth and decline concept can also be applied to what other type of problem?

Answer 7

finding the worth of an investment after a given time and with a certain annual or monthly rate of growth or decline