Suppose that the growth of a certain population of bacteria satisfies dy = ky dt where y is the number of organisms, t is the number of hours, and k is a constant. If initially there are 10,000 organisms and the number triples after 3 hours, how long will it be before the population reaches 80 times the original population? (Round your answer to one decimal place.) hr

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.CT: Test
Problem 21CT
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Suppose that the growth of a certain population of bacteria satisfies

 
dy
dt
 = ky

where y is the number of organisms, t is the number of hours, and k is a constant. If initially there are 10,000 organisms and the number triples after 3 hours, how long will it be before the population reaches 80 times the original population? (Round your answer to one decimal place.)
hr

Suppose that the growth of a certain population of bacteria satisfies
dy
= ky
dt
where y is the number of organisms, t is the number of hours, and k is a
constant. If initially there are 10,000 organisms and the number triples after
3 hours, how long will it be before the population reaches 80 times the
original population? (Round your answer to one decimal place.)
hr
Transcribed Image Text:Suppose that the growth of a certain population of bacteria satisfies dy = ky dt where y is the number of organisms, t is the number of hours, and k is a constant. If initially there are 10,000 organisms and the number triples after 3 hours, how long will it be before the population reaches 80 times the original population? (Round your answer to one decimal place.) hr
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