Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number of fish grew to 710 in the first year. Derive the logististic equation in the form y 1+ aebt and determine how long it will take for the population to increase to 40 percent of the carrying capacity?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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Biologists stocked a lake with 600 fish and estimated the
carrying capacity to be 7400. The number of fish grew to
710 in the first year.
Derive the logististic equation in the form
1 + aebt
and determine how long it will take for the population to
increase to 40 percent of the carrying capacity?
years.
Transcribed Image Text:Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number of fish grew to 710 in the first year. Derive the logististic equation in the form 1 + aebt and determine how long it will take for the population to increase to 40 percent of the carrying capacity? years.
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