(a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. y = (c) Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.) X bacteria (d) After how many hours will the bacteria count be 40,000? (Round your answer to two decimal places.) 23.49 x hr

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 9E: Decrease in Bacteria When an antibiotic is introduced into a culture of 50,000 bacteria, the number...
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The number of bacteria in a culture is increasing according to the law of exponential growth. There are 135 bacteria in the culture after 2 hours and 395 bacteria after 4 hours.
(a) Find the initial population. (Round your answer to the nearest whole number.)
X bacteria
(b) Write an exponential growth model for the bacteria population. Let t represent the time in hours.
y =
(c) Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.)
bacteria
(d) After how many hours will the bacteria count be 40,000? (Round your answer to two decimal places.)
23.49 x hr
Transcribed Image Text:The number of bacteria in a culture is increasing according to the law of exponential growth. There are 135 bacteria in the culture after 2 hours and 395 bacteria after 4 hours. (a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. y = (c) Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.) bacteria (d) After how many hours will the bacteria count be 40,000? (Round your answer to two decimal places.) 23.49 x hr
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