Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) = b) How long will it take for the population to increase to 4000 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population
for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year.
a)Find an equation for the number of fish P(t) after t years
P(t) =
b) How long will it take for the population to increase to 4000 (half of the carrying capacity)?
It will take
years.
You may enter the exact value or round to 2 decimal places.
Transcribed Image Text:Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 8000. The number of fish grew to 570 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) = b) How long will it take for the population to increase to 4000 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.
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