9. Decrease in Bacteria When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreases exponentially. After 9 hours, there are only 20,000 bacteria. a. Write an exponential equation to express the growth func- tion y in terms of time t in hours. b. In how many hours will half the number of bacteria remain?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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9. Decrease in Bacteria When an antibiotic is introduced into
a culture of 50,000 bacteria, the number of bacteria decreases
exponentially. After 9 hours, there are only 20,000 bacteria.
a. Write an exponential equation to express the growth func-
tion y in terms of time t in hours.
b. In how many hours will half the number of bacteria remain?
Transcribed Image Text:9. Decrease in Bacteria When an antibiotic is introduced into a culture of 50,000 bacteria, the number of bacteria decreases exponentially. After 9 hours, there are only 20,000 bacteria. a. Write an exponential equation to express the growth func- tion y in terms of time t in hours. b. In how many hours will half the number of bacteria remain?
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