A bacteria culture starts with 100 bacteria and grows at a rate proportional to its size. After 2 hours there will be 200 bacteria. (a) Express the population Pafter t hours as a function of t. P(t)= (b) What will be the population after 7 hours? bacteria (c) How long will it take for the population to reach 1990? Give your answer accurate to at least 2 decimal places. hours

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.2: Evaluate And Graph Exponential Functions
Problem 10.34TI: Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that...
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A bacteria culture starts with 100 bacteria and grows at a rate proportional to its size. After 2 hours there
will be 200 bacteria.
(a) Express the population Pafter t hours as a function of t.
P(t)=
(b) What will be the population after 7 hours?
bacteria
(c) How long will it take for the population to reach 1990? Give your answer accurate to at least 2 decimal
places.
hours
Transcribed Image Text:A bacteria culture starts with 100 bacteria and grows at a rate proportional to its size. After 2 hours there will be 200 bacteria. (a) Express the population Pafter t hours as a function of t. P(t)= (b) What will be the population after 7 hours? bacteria (c) How long will it take for the population to reach 1990? Give your answer accurate to at least 2 decimal places. hours
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