Which of the following is the third value for the data set below
1 answer:
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Answer:
Step-by-step explanation:
The logistic equation is the following one:
In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that .
The number of fish tripled in the first year. This means that .
Using the equation for P(1), that is, P(t) when , we find the value of r.
Applying ln to both sides.
This means that the expression for the size of the population after t years is: