Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 9600. The number of fish grew to 1020 in the first year. Round to four decimal places. a) Find an equation for the number of fish P(t) after t years P(t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for the
fish of that species in that lake) to be 9600. The number of fish grew to 1020 in the first year. Round to
four decimal places.
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 4800 (half of the carrying capacity)?
It will take
years.
Transcribed Image Text:Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 9600. The number of fish grew to 1020 in the first year. Round to four decimal places. 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 4800 (half of the carrying capacity)? It will take years.
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