Exercises 35 and 36 are based on the discussion following Example 2. If the limiting...

Exercises 35 and 36 are based on the discussion following Example 2. If the limiting value N is known, then

and so N/y − 1 is an exponential function of x. In Exercises 35 and 36, use the given value of N and the data points (x, N/y − 1) to obtain A and b, and hence a logistic model.

Population: Puerto Rico The following table and graph show the population of Puerto Rico in thousands from 1950 to

2025.

Take t to be the number of years since 1950, and find a logistic model based on the assumption that, eventually, the population of Puerto Rico will grow to 4.5 million. (Round coefficients to 4 decimal places.) In what year does your model predict the population of Puerto Rico will first reach 4.0 million?