A population of 480 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. 4t P(t) = 480(2 +244 +²2) Find P'(t). P'(t) = bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacteria/hour

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A population of 480 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours.
4t
P(t) = 480(2 + 244 z)
Find P'(t).
P'(t) =
bacteria/hour
Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.)
P'(5) =
bacteria/hour
Transcribed Image Text:A population of 480 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. 4t P(t) = 480(2 + 244 z) Find P'(t). P'(t) = bacteria/hour Find the rate at which the population is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacteria/hour
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