Population Growth or Decline Flashcards

1
Q

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

A

the concept of finding the nᵗʰ term of a Geometric Sequence

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2
Q

What is the basic formula for population growth?

A

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.

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3
Q

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

A

r = (1 + R/100)

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4
Q

What is the formula for the exponent n?

A

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.

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5
Q

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

A

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

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6
Q

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

A

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

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7
Q

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

A

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

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