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.) 46✔ bacteria (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. 0.5368t y = 46e X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 2ECP: The number of bacteria in a culture is increasing according to the law of exponential growth. After...
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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 425 bacteria after 4 hours.
(a) Find the initial population. (Round your answer to the nearest whole number.)
bacteria
(b) Write an exponential growth model for the bacteria population. Let t represent the time in hours.
3645
85
e In () t
y = aaa
(c) Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.)
bacteria
X
(d) After how many hours will the bacteria count be 20,000? (Round your answer to two decimal places.)
hr
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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.)
46
bacteria
y = 46e
(b) Write an exponential growth model for the bacteria population. Let t represent the time in hours.
46e0.5368t
X
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 425 bacteria after 4 hours. (a) Find the initial population. (Round your answer to the nearest whole number.) bacteria (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. 3645 85 e In () t y = aaa (c) Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.) bacteria X (d) After how many hours will the bacteria count be 20,000? (Round your answer to two decimal places.) hr Check Score Hide Answer 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.) 46 bacteria y = 46e (b) Write an exponential growth model for the bacteria population. Let t represent the time in hours. 46e0.5368t X
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