Two million E. coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of bacteria P(t) decreases by half every 6 hr. The population can be represented by P(t) = 2,000,000(. a. Convert this to an exponential function using base e. b. Verify that the original function and the result from part (a) yield the same result for P(0), P(6), P(12), and P(60). (Note: There may be round-off error.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
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Two million E. coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of
bacteria P(t) decreases by half every 6 hr. The population can be represented by P(t) = 2,000,000(.
a. Convert this to an exponential function using base e.
b. Verify that the original function and the result from part (a) yield the same result for P(0), P(6), P(12), and P(60). (Note:
There may be round-off error.)
Transcribed Image Text:Two million E. coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of bacteria P(t) decreases by half every 6 hr. The population can be represented by P(t) = 2,000,000(. a. Convert this to an exponential function using base e. b. Verify that the original function and the result from part (a) yield the same result for P(0), P(6), P(12), and P(60). (Note: There may be round-off error.)
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