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
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
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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.
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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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