Question

The population of New York state can be modeled by: 19.71 P(t) =

1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.

Answer 1

19.193 million

Explanation:

Put the given value in the formula and do the arithmetic.

P(220) = 19.71/(1 +61.22e^(-0.03513·220))

P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)

P(220) ≈ 19.193 . . . million