
Concept explainers
a.
To write: the number of guppies as a function of time t.
a.

Answer to Problem 65RE
Explanation of Solution
Given information: The number of guppies in Susan's aquarium doubles every day. There are four guppies initially.
Calculation:
If an amount increases by a factor each time, the function is exponential so its of the form
Since the number of guppies is doubling, so b =2 and since 4 is the initial number of guppies, a = 4 .The equation is then
b.
To find: How many guppies were present after 4 days, after 1 week.
b.

Answer to Problem 65RE
Explanation of Solution
Given information:
Calculation:
c.
To find: when will there be 2000 guppies.
c.

Answer to Problem 65RE
About 9 days.
Explanation of Solution
Given information:
Calculation:
Since t is almost 9, it will take about 9 days.
d.
To give: reasons why this might not be a good model for the growth of Susan's guppy population.
d.

Answer to Problem 65RE
Explanation of Solution
Given information:
Calculation:
Like any population, there has to be a maximum or carrying capacity due to the limitations of the environment. In this case, there is going to be a limit to the number of guppies that can fit into the tank and the amount of oxygen for their use.
Chapter 1 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics
Thinking Mathematically (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
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