Bacteria Culture The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria popula- tion? Express your answer as a percentage. (b) What was the initial size of the culture? (c) Find a function that models the number of bacteria n(t) after t hours. (d) Find the number of bacteria after 4.5 hours. (e) After how many hours will the number of bacteria reach 50,000?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Bacteria Culture The count in a culture of bacteria was 400
after 2 hours and 25,600 after 6 hours.
(a) What is the relative rate of growth of the bacteria popula-
tion? Express your answer as a percentage.
(b) What was the initial size of the culture?
(c) Find a function that models the number of bacteria n(t)
after t hours.
(d) Find the number of bacteria after 4.5 hours.
(e) After how many hours will the number of bacteria reach
50,000?
Transcribed Image Text:Bacteria Culture The count in a culture of bacteria was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative rate of growth of the bacteria popula- tion? Express your answer as a percentage. (b) What was the initial size of the culture? (c) Find a function that models the number of bacteria n(t) after t hours. (d) Find the number of bacteria after 4.5 hours. (e) After how many hours will the number of bacteria reach 50,000?
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