1. The human population of a certain island satisfies the logistic law dx = kx - dt with k = 0.03 and ) = 3(10)-8, and time t measured in years. a)If the population in 1980 is 200,000, find a formula for the population in future years. b)According to the formula of part (a), what will be the population in the year 2000?
1. The human population of a certain island satisfies the logistic law dx = kx - dt with k = 0.03 and ) = 3(10)-8, and time t measured in years. a)If the population in 1980 is 200,000, find a formula for the population in future years. b)According to the formula of part (a), what will be the population in the year 2000?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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Transcribed Image Text:1. The human population of a certain island satisfies the logistic law
dx
kx – Ax?
dt
with k = 0.03 and A = 3(10)-8, and time t measured in years.
a)If the population in 1980 is 200,000, find a formula for the population in
future years.
b)According to the formula of part (a), what will be the population in the year
2000?
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