The logistic growth model is often used to model population growth, where the population grows rapidly at first, but eventually levels off as it approaches its carrying capacity.
In the given function, f(x) represents the population size at time x. The function is in the form of the logistic growth model, where the carrying capacity is 110 and the growth rate is 8e-2.
To find the population size at a specific time, substitute the value of x into the function. For example, to find the population size at time x=10, we have:
f(10) = 110 / (1 + 8e-2(10))
= 110 / (1 + 8e-1)
= 110 / (1 + 0.8)
= 60.44
Therefore, the population size at time x=10 is approximately 60.44.
f(x)=110/1+8e-2x'
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