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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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Finite Mathematics and Applied Calculus (MindTap Course List)
- What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.arrow_forwardWorld Population The following table shows world population N, in billions, in the given year. Year 1950 1960 1970 1980 1990 2000 2010 N 2.56 3.04 3.71 4.45 5.29 6.09 6.85 a. Use regression to find a logistic model for world population. b. What r value do these data yield for humans on planet Earth? c. According to the logistic model using these data, what is the carrying capacity of planet Earth for humans? d. According to this model, when will world population reach 90 of carrying capacity? Round to the nearest year. Note: This represents a rather naive analysis of world population.arrow_forward
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