The number of bacteria in a culture is increasing according to the law of exponential growth. There are 145 bacteria in the culture after 2 hours and 415 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 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.) hr

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 2ECP
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The number of bacteria in a culture is increasing according to the law of exponential growth. There are 145 bacteria in the culture after 2 hours and 415 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 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.)
hr
Transcribed Image Text:The number of bacteria in a culture is increasing according to the law of exponential growth. There are 145 bacteria in the culture after 2 hours and 415 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 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.) hr
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