Concept explainers
a.
To graph: the model using the graphing utility.
a.
Answer to Problem 46E
Explanation of Solution
Given information: The number Y of yeast organism in a culture is modeled by:
Calculation:
The graph of the model is shown below.
b.
To approximate: the initial population and to predict the population for 19th hour and 30th hour.
b.
Answer to Problem 46E
Initial population is 9 organisms.
The population for 19th hour and 30th hour will be 663 organisms.
Explanation of Solution
Given information: The number Y of yeast organism in a culture is modeled by:
Calculation:
c.
To calculate: the hours at which the population will reach 180 organisms.
c.
Answer to Problem 46E
6 hours.
Explanation of Solution
Given information:
Calculation:
d.
To find: the limiting value of the population according to the model.
d.
Answer to Problem 46E
The lower limit of population is 9 organisms and higher limit of population is 663 organisms.
Explanation of Solution
Given information:
Calculation:
According to the model the initial population is 9 organisms and maximum population is 663 organisms so the lower limit of population is 9 organisms and higher limit of population is 663 organisms.
e.
To find: why this population of yeast follows a logical growth model and not an exponential growth model.
e.
Answer to Problem 46E
This population of yeast follows a logical growth model and not an exponential growth model because after a certain hours the population remains constant (663).
Explanation of Solution
Given information:
Calculation:
This population of yeast follows a logical growth model and not an exponential growth model because after a certain hours the population remains constant (663).
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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