Using historical population data, Jasper determines the logistic regression equation y is equal to the fraction with numerator 214 and denominator 1 plus 16 point 4 e raised to the negative 0 point 0 5 x power for the population, in thousands of people, of his town after x years. To the nearest thousand people, what is the projected population 30 years from now?
Substitute x = 30 into the model: y = 214 / (1 + 16.4e^(-0.05 × 30)) = 214 / (1 + 16.4e^(-1.5)) ≈ 45.9. Since y is measured in thousands of people, this is about 45,900 people, which rounds to 46,000 people. The correct choice is 46,000 people.
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