PreCalc Logistic

Question

The population of New York state can be modeled by: P(t) = 19.71 1+61.22e-0.03513t Where P is the population in millions and t is the number of years since 1800. What was the population in 2020?

Answer 1

Hi!

Adding on to Jacques' post, it is important to understand what this equation and its variables represent. The function P(t) represents the population of New York as a function of time, where t represents years since 1800. In other words, t represents the current year minus 1800. Once you understand how these variables work we know that we must find P(2020-1800). Hope this explains the variables!

Answer 2

Answer 3

Plug into the equation, paying attention to what t and P signify: ( assume that this is the equation you meant to write given the title of your question

P = 19.71/(1 + 61.22e^{-.03513(2022-1800)}) = 19.23 (million)

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