a.
To find: Whether the function is of exponential growth or decay
a.
Answer to Problem 19Q
The function is of exponential growth.
Explanation of Solution
Given:
Calculation:
The function is in the form of
And since
b.
To graph: The function
b.
Answer to Problem 19Q
From the graph, the domain is all real numbers and the range is
Explanation of Solution
Given:
Calculation:
From the function solve and plot some points on the graph.
The domain of a function is the set of points for which the value of function is defined and real. Thus, here the domain of the function is set of all real numbers. The range is
c.
To find: The yearly percent change and approximate monthly percent change.
c.
Answer to Problem 19Q
The yearly percent change is 300% and monthly is 12% approximately.
Explanation of Solution
Given:
Formula used:
Calculation:
For 0 year,
Now for 1 year,
Thus the yearly percent change is 300%
For monthly, Use
Therefore the equation becomes
Now use the growth factor
Therefore, the monthly percent increase is about 12%
d.
To find: The number of frogs after 4 years.
d.
Answer to Problem 19Q
The number of frogs in the pond after 4 years is 1280.
Explanation of Solution
Given:
Calculation:
For 4 year,
Thus, number of frogs in the pond after 4 years is 1280.
Chapter 6 Solutions
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