The predator satiation model for population growth specifies that the reproductive rate of an organism as a function of the total population varies according to the formula, гр R(p) - 1+ kp where p is the total population in thousands of organisms, r and k are constants that depend on the particular circumstances and the organism being studied, and R(p) is the reproduction rate in new organisms per hour. t Given that k- 0.4 and r- 0.09, find R'(p). R'p) = Find R'(5). (Round your answer to four decimal places.) R(5) = x thousand organisms per hour, per one thousand organisms Interpret the result. This means that the reproduction rate of organisms in a culture containing organisms is increasing v at a rate of X organisms per hour, per one thousand additional organisms.
The predator satiation model for population growth specifies that the reproductive rate of an organism as a function of the total population varies according to the formula, гр R(p) - 1+ kp where p is the total population in thousands of organisms, r and k are constants that depend on the particular circumstances and the organism being studied, and R(p) is the reproduction rate in new organisms per hour. t Given that k- 0.4 and r- 0.09, find R'(p). R'p) = Find R'(5). (Round your answer to four decimal places.) R(5) = x thousand organisms per hour, per one thousand organisms Interpret the result. This means that the reproduction rate of organisms in a culture containing organisms is increasing v at a rate of X organisms per hour, per one thousand additional organisms.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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Transcribed Image Text:The predator satiation model for population growth specifies that the reproductive rate of an organism as a function of the total population varies according to the formula,
rp
R(p) =
1 + kp
where p is the total population in thousands of organisms, r and k are constants that depend on the particular circumstances and the organism being studied, and R(p) is the reproduction rate in new organisms per hour. t
Given that k = 0.4 and r = 0.09, find R'(p).
R'(p) =
Find R'(5), (Round your answer to four decimal places.)
R'(5) =
x thousand organisms per hour, per one thousand organisms
Interpret the result.
This means that the reproduction rate of organisms in a culture containing
organisms is increasing v v at a rate of
X organisms per hour, per one thousand additional organisms.
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