Question

YEAR U.S. 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 Statescan support is 500,000,000 people. Predict the population for theyear 2000 using the logistic growth model on the basis of the datain the years 1950 and 1960. In other words:

Let P = P (t) be the population, where t is the number of yearsafter 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. Populationtable given above. Use these two data points to find the values ofb and k in the formula for P (t).

Note: Answer to the nearest 1 million people