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Question
U.S. Population
YEAR POPULATION
1930 122,800,000
1940 131,700,000
1950 150,700,000
1960 179,300,000
It is estimated that the limiting population that the United States can support is 500,000,000 people. Predict the population for the year 2000 using the logistic growth model on the basis of the data in the years 1950 and 1960. In other words:
* Let P = P (t) be the population, where t is the number of years after 1950.
* Assume P (t) is of the form given by the logistic equation. Determine what the value of L must be in this case.
* Find the exact values of P (0) and P (10) from the U.S. Population table given above. Use these two data points to find the values of b and k in the formula for P (t).
Note: Answer to the nearest 1 million people, and do not use commas in your answer.
Take the 1960 population minus the 1950 population.
Call this D for difference.
This is the growth in 10 years. Since we want the growth in 40 more years, it can be seen that 40/10 = 4.
This means that we take 4D and add to the population at 1960,
we should have the estimate of the year 2,000.
My answer was almost 300 million. It was actually 294 million.
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