Math  /  Algebra

QuestionA logistic growth model for world population, f(x)\mathrm{f}(\mathrm{x}), in billions, x years after 1976 is f(x)=12.571+4.11e0.026x\mathrm{f}(\mathrm{x})=\frac{12.57}{1+4.11 e^{-0.026 x}}. According to this model, when will the world population be 12 billion?
According to this model, the world population will be 12 billion in \square (Round to the nearest whole number as needed.)

Studdy Solution
Round the value of x x to the nearest whole number:
x172 x \approx 172
According to this model, the world population will be 12 billion in 172 \boxed{172} years after 1976, which is the year 1976 + 172 = 2148.

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