Problem 1. dP dt A bacteria culture P grows according to = kP. The bacteria count was 784 after 2 hours and 117649 after 6 hours. Answer the following questions. 1. What is the relative growth rate? Answer: k = 2. What was the initial size of the culture? Answer: Po = 3. Find an expression for the number of bacteria after t hours. Answer: P(t) = 4. When will the population reach 1000000? Answer (in hours): t = =
Problem 1. dP dt A bacteria culture P grows according to = kP. The bacteria count was 784 after 2 hours and 117649 after 6 hours. Answer the following questions. 1. What is the relative growth rate? Answer: k = 2. What was the initial size of the culture? Answer: Po = 3. Find an expression for the number of bacteria after t hours. Answer: P(t) = 4. When will the population reach 1000000? Answer (in hours): t = =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 6SC
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Transcribed Image Text:Problem 1.
dP
dt
A bacteria culture P grows according to
= kP. The bacteria count was 784 after 2
hours and 117649 after 6 hours. Answer the
following questions.
1. What is the relative growth rate?
Answer: k
=
2. What was the initial size of the culture?
Answer: Po
=
3. Find an expression for the number of bacteria
after t hours.
Answer: P(t)
=
4. When will the population reach 1000000?
Answer (in hours): t =
=
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