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World population

By:Gamal Hadwan

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Population of the continents

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The quadratic model output population and input year will be y=2.651E5x^2+5.893E7x+2.46E9

The exponential model output population and input year will be y=2.609E9e^(0.017x)

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Isn't growth always exponential?

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The predicted population size?

For each model, what is the predicted population size in 2025 and 2050?

For the exponential model the predicted population size in 2025 it will be 9,336,831,978.9. And the predicted population size in 2050 will be 14,281,528,745.0163

For the quadratic model the predicted population size in 2025 it will be 8.3,709,000,000,000. And the predicted population size in 2050 will be 11.0,040,000,000,000

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The rate of change?

  1. What is the current (2006) rate of change for each model?

The current 2006 rate of change for the exponential model is 114,913,578.0016

while the current 2006 rate of change for the quadratic model is 35,584,200

  • Use the 2006 rate of change information for each model to predict 2025 and 2050 population size.

By using the rate of change of 2006 the population size of the exponential model in 2025 is 2,183,357,982.0304 and in 2050 is 5,056,197,432.0704

That’s for the exponential model but for the quadratic model in 2025 it will be 676,099,800 and for 2050 it will be 1,565,704,800

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What is the difference between the predictions in both models?

The two models have different expectation and predictions because the two models have different equations which shows that the exponential model is more higher.

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