A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands of the bacteria are observed in the culture; and after 5 hours, 6000 strands. Determine (a) an expression for the number of strands of bacteria at any time t; (b) the original number of strands of the bacteria in the culture; and the number of strands of the bacteria in the culture after hours.
A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands of the bacteria are observed in the culture; and after 5 hours, 6000 strands. Determine (a) an expression for the number of strands of bacteria at any time t; (b) the original number of strands of the bacteria in the culture; and the number of strands of the bacteria in the culture after hours.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 106E
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![A bacteria is known to increase a rate proportional to the amount present. After 2hours
1500 strands of the bacteria are observed in the culture; and after 5 hours, 6000 strands.
Determine (a) an expression for the number of strands of bacteria at any time t; (b) the
original number of strands of the bacteria in the culture; and the number of strands of
the bacteria in the culture after hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3a340ef-1a9f-410d-9b05-94be251edb64%2F715a123e-936b-4f02-b568-d81578a756b8%2Fx5unq1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bacteria is known to increase a rate proportional to the amount present. After 2hours
1500 strands of the bacteria are observed in the culture; and after 5 hours, 6000 strands.
Determine (a) an expression for the number of strands of bacteria at any time t; (b) the
original number of strands of the bacteria in the culture; and the number of strands of
the bacteria in the culture after hours.
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