The third bacteria culture started with 5,000 bacteria. The assistant found that after 3 hours the estimated population was 80,000. 3. How long did it take for the population to double for the first time? How long after that (a) will it take for the population to double the second time? How long after that will it take for the population to double the third time? Find an equation that can be used to predict the size of the population at any time t. Estimate the population after 3.5 hours. (b) (c) How does the doubling time found in (a) relate to your equation in (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 13PFA
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The third bacteria culture started with 5,000 bacteria. The assistant found that after 3
hours the estimated population was 80,000.
3.
How long did it take for the population to double for the first time? How long after that
(a)
will it take for the population to double the second time? How long after that will it take
for the population to double the third time?
Find an equation that can be used to predict the size of the population at any time t.
Estimate the population after 3.5 hours.
(b)
(c)
How does the doubling time found in (a) relate to your equation in (b)?
Find a general formula (or rule) that can be used to predict the bacteria population for any
culture. You should define what each variable in your general formula stands for. You
should illustrate how your general formula applies to each of the three scenarios in this
investigation!
4.
Transcribed Image Text:The third bacteria culture started with 5,000 bacteria. The assistant found that after 3 hours the estimated population was 80,000. 3. How long did it take for the population to double for the first time? How long after that (a) will it take for the population to double the second time? How long after that will it take for the population to double the third time? Find an equation that can be used to predict the size of the population at any time t. Estimate the population after 3.5 hours. (b) (c) How does the doubling time found in (a) relate to your equation in (b)? Find a general formula (or rule) that can be used to predict the bacteria population for any culture. You should define what each variable in your general formula stands for. You should illustrate how your general formula applies to each of the three scenarios in this investigation! 4.
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