Exponential Population Growth: 1970-1980

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SUMMARY

The discussion focuses on calculating exponential population growth between 1970 and 1980, where the population increased from 120 million to 150 million. The relevant formula used is P(t) = P0ekt, where P0 is the initial population and k is the growth constant. Participants are tasked with determining the population at any given year after 1970, the time required for the population to double, and the year when the population will reach 400 million.

PREREQUISITES
  • Understanding of exponential functions and growth models
  • Familiarity with the mathematical constant e
  • Basic algebra for solving equations
  • Knowledge of population dynamics concepts
NEXT STEPS
  • Calculate the growth constant k using the given population data
  • Determine the population at t = 10 years (1980) using the formula
  • Find the time required for the population to double from 120 million
  • Project the population growth to find when it will reach 400 million
USEFUL FOR

Students studying mathematics, particularly in the fields of algebra and exponential growth, as well as anyone interested in demographic studies and population forecasting.

jackleyt
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Homework Statement


The population of a country is growing exponentially. The population in millions was 120 in 1970 and 150 in 1980.

(a) What is the population t years after 1970?

(b) How long does it take the population to double?

(c) When will the population be 400 million?



Homework Equations





The Attempt at a Solution


I don't know how to start the equation, so I listed out the years and the populations to no avail.
 
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I'll give you the equation you need to use.

P(t) = P0ekt

P(0) = P0

Use the information given in the problem to find your constant (k). Once you have that it is very easy.

Cool, first post!
 

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