
Concept explainers
Exercises 35 and 36 are based on the discussion following Example 2. If the limiting value N is known, then
Population: Virgin Islands The following table and graph show the population of the Virgin Islands in thousands from 1950 to 2025:57
t (years since 1950) | 0 | 10 | 20 | 30 | 40 | 50 |
Population (thousands) | 27 | 33 | 63 | 98 | 104 | 106 |
t (years since 1950) | 55 | 60 | 65 | 70 | 75 |
Population (thousands) | 108 | 108 | 107 | 107 | 108 |
Take t to be the number of years since 1950, and find a logistic model based on the assumption that, eventually, the population of the Virgin Islands will grow to 110,000. (Round coefficients to four decimal places.) In what year does your model predict that the population of the Virgin Islands first reached 80,000?

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Chapter 2 Solutions
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