A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2 hours and 117,649 after 6 hours. a) What is the relative growth rate? Enter the exact value for k. k = b) What was the initial size of the culture? π aº ∞ a ≤va sin b P(t) = cells c) Find an expression for the number of bacteria after t hours. Preview

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
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A bacteria culture grows with a constant relative growth rate. The bacteria count was
784 after 2 hours and 117,649 after 6 hours.
a) What is the relative growth rate? Enter the exact value for k.
k
b) What was the initial size of the culture?
ㅠ
<√a sin
c) Find an expression for the number of bacteria after t hours.
P(t) =
a
∞
cells
Preview
Transcribed Image Text:A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2 hours and 117,649 after 6 hours. a) What is the relative growth rate? Enter the exact value for k. k b) What was the initial size of the culture? ㅠ <√a sin c) Find an expression for the number of bacteria after t hours. P(t) = a ∞ cells Preview
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