Horton Ortiz
09/20/2023 · Senior High School
Growth of a bacteria population \( B(t) \) (in millions), at time \( t \) (hours), follows the logisic growth \[ B(t)=\frac{4}{1+7 e^{-t}}, \quad t \geq 0 \] (a) Sketch the graph of the bacteria population verses time, for the first eight hours. (b) What is the initial population size? (d) What value does the bacteria population approach after large time?
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(a) Sketch the graph of the bacteria population versus time for the first eight hours. The graph starts at 0.5 million and approaches 4 million.
(b) The initial population size is 0.5 million.
(c) The population approaches 4 million as time goes to infinity.
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