When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreas exponentially. After 9 hours, there are only 30,000 bacteria. a. Write an exponential equation to express the growth function y in terms of time t in hours. b. In how many hours will half the number of bacteria remain? a. The exponential equation is (Round to three decimal places as needed.) b. Half the number of bacteria will remain in hours. (Round to one decimal place as needed.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreas
exponentially. After 9 hours, there are only 30,000 bacteria.
a. Write an exponential equation to express the growth function y in terms of time t in hours.
b. In how many hours will half the number of bacteria remain?
a. The exponential equation is
(Round to three decimal places as needed.)
b. Half the number of bacteria will remain in
hours.
(Round to one decimal place as needed.)
Transcribed Image Text:When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreas exponentially. After 9 hours, there are only 30,000 bacteria. a. Write an exponential equation to express the growth function y in terms of time t in hours. b. In how many hours will half the number of bacteria remain? a. The exponential equation is (Round to three decimal places as needed.) b. Half the number of bacteria will remain in hours. (Round to one decimal place as needed.)
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