A colony of bacteria is growing exponentially with growth constant k = 0.25. (a) Determine the rate at which the colony will be growing when its size is 8,000 cells. Include units. (b) Determine the size of the bacteria colony when the colony is growing at the rate of 200 cells per hour. Include units.
A colony of bacteria is growing exponentially with growth constant k = 0.25. (a) Determine the rate at which the colony will be growing when its size is 8,000 cells. Include units. (b) Determine the size of the bacteria colony when the colony is growing at the rate of 200 cells per hour. Include units.
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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A colony of bacteria is growing exponentially with growth constant k = 0.25.
(a) Determine the rate at which the colony will be growing when its size is 8,000 cells. Include units.
(b) Determine the size of the bacteria colony when the colony is growing at the rate of 200 cells per hour. Include units.

Transcribed Image Text:Thus, P'(t) = 0.25P(t) where P(t) represents the population (of cells) after t hours and can
be modeled as P(t) = 100e0.25t.
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