8. Bacteria Culture A culture contains 1500 bacteria initially and doubles every 30 min. (a) Find a function that models the number of bacteria n(t) after t minutes. (b) Find the number of bacteria after 2 hours. (c) After how many minutes will the culture contain 4000 bacteria?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
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population
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1
3
4
Years since 1996
8. Bacteria Culture A culture contains 1500 bacteria
initially and doubles every 30 min.
(a) Find a function that models the number of bacteria n(t)
after t minutes.
(b) Find the number of bacteria after 2 hours.
(c) After how many minutes will the culture contain 4000
bacteria?
9. Bacteria Culture A culture starts with 8600 bacteria.
After one hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t)
after t hours.
(b) Find the number of bacteria after 2 hours.
(c) After how many hours will the number of bacteria
double?
10. 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
population? Express your answer as a percentage.
(b) What was the initial size of the culture?
Transcribed Image Text:population 10,000- 1 3 4 Years since 1996 8. Bacteria Culture A culture contains 1500 bacteria initially and doubles every 30 min. (a) Find a function that models the number of bacteria n(t) after t minutes. (b) Find the number of bacteria after 2 hours. (c) After how many minutes will the culture contain 4000 bacteria? 9. Bacteria Culture A culture starts with 8600 bacteria. After one hour the count is 10,000. (a) Find a function that models the number of bacteria n(t) after t hours. (b) Find the number of bacteria after 2 hours. (c) After how many hours will the number of bacteria double? 10. 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 population? Express your answer as a percentage. (b) What was the initial size of the culture?
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