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
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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