Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by the function p(t) = 200+ 20t - t2 where t is time in hours. a) State the initial population. b) Determine the growth rate of the population in terms of t. c) What does it mean when p'(t) = 0? Calculate the value of t when this occurs and explain what this answer means. (+) for + greater

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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Part A
The population P, in thousands of bacterial colonies on a kitchen bench can be modelled by
the function p(t) = 200 + 20t - t2 where t is time in hours.
99 words
.
a) State the initial population.
b) Determine the growth rate of the
population in terms of t.
c) What does it mean when p'(t) = 0?
Calculate the value of t when this occurs
and explain what this answer means.
d) Explain what happens to p'(t) for t greater
than the value you found in part c. Give
one reason why this might occur.
区
English (Australia) Accessibility: Investigate
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C
80
F3
$
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45
%
F5
MacBook Air
6
F6
&
7
F7
8
F8
Focus
F9
ES EE
F10
Transcribed Image Text:Part A The population P, in thousands of bacterial colonies on a kitchen bench can be modelled by the function p(t) = 200 + 20t - t2 where t is time in hours. 99 words . a) State the initial population. b) Determine the growth rate of the population in terms of t. c) What does it mean when p'(t) = 0? Calculate the value of t when this occurs and explain what this answer means. d) Explain what happens to p'(t) for t greater than the value you found in part c. Give one reason why this might occur. 区 English (Australia) Accessibility: Investigate F2 C 80 F3 $ 888 F4 45 % F5 MacBook Air 6 F6 & 7 F7 8 F8 Focus F9 ES EE F10
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