Some biologists decided to seed a lake with 400 trout. They estimated the carrying capacity of the lake to be 1,600 trout. By the end of year 3 they

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Some biologists decided to seed a lake with 400 trout. They estimated the carrying capacity of the lake to be 1,600 trout. By the end of year 3 they noticedthat the population of trout had tripled.(i) Assuming the population follows the logistic model, calculate the relative growth rate k for an unconstrained environment.k =NumberRound your answer to 3 decimal places.(ii) After how many years did the population in the lake reach 1,000 trout?Answer:Numberyears.Round the answer to 2 decimal places.