Biologists release two otters (a type of water animal) into a river. They believe that the river could support a maximum population of 500 otters, and that with unlimited resources the otter population would increase by 50% each year. i. Write down a Pielou logistic equation to model the yearly otter population, of the form Yn+1 Xyn 1+ Byn for suitable a, ẞER. ii. By solving this equation, make a prediction of the population after 5 years.

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Biologists release two otters (a type of water animal) into a river. They believe
that the river could support a maximum population of 500 otters, and that with
unlimited resources the otter population would increase by 50% each year.
i. Write down a Pielou logistic equation to model the yearly otter population, of
the form
Yn+1
Xyn
1+ Byn
for suitable a, ẞER.
ii. By solving this equation, make a prediction of the population after 5 years.
Transcribed Image Text:Biologists release two otters (a type of water animal) into a river. They believe that the river could support a maximum population of 500 otters, and that with unlimited resources the otter population would increase by 50% each year. i. Write down a Pielou logistic equation to model the yearly otter population, of the form Yn+1 Xyn 1+ Byn for suitable a, ẞER. ii. By solving this equation, make a prediction of the population after 5 years.
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