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 9800. The number of fish grew to 1020 in the first yea a)Find an equation for the number of fish P(t) after t years 7840000 P(t) = 9000eln(0.765)t _ 800 b) How long will it take for the population to increase to 4900 (half of the carrying capacity)? It will take 10 X years.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
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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 9800. The number of fish grew to 1020 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 4900 (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 9800. The number of fish grew to 1020 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 4900 (half of the carrying capacity)? It will take years.
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 9800. The number of fish grew to 1020 in the first year.
a)Find an equation for the number of fish P(t) after t years
7840000
P(t) :
9000en (0.765)t + 800
b) How long will it take for the population to increase to 4900 (half of the carrying capacity)?
It will take 10
x 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 9800. The number of fish grew to 1020 in the first year. a)Find an equation for the number of fish P(t) after t years 7840000 P(t) : 9000en (0.765)t + 800 b) How long will it take for the population to increase to 4900 (half of the carrying capacity)? It will take 10 x years.
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