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)?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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