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 6800. The number of fish grew to 550 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 3400 (half of the carrying capacity)? It will take years. You may enter the exact value or round to 2 decimal places.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
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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 6800. The number of fish grew to 550 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 3400 (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 6800. The number of fish grew to 550 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 3400 (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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