When an antibiotic is introduced into a culture of 20,000 bacteria, the number of bacteria decreases exponentially. After 12 hours, there are only 5000 bacteria left. (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
10th Edition
ISBN:9781337282291
Author:Ron Larson
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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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When an antibiotic is introduced into a culture of 20,000 bacteria, the number of bacteria decreases exponentially. After 12 hours, there are only 5000 bacteria left.

(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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