If the rabbit population cycle occurred over 6 months instead of a year how would the graph and equation change?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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#10 If the rabbit population cycle occurred over 6 months instead of a year how would the graph and equation change?

The rabbit population in a national park rises and falls throughout the year. The population
is at its approximate minimum of 6000 rabbits in December. As the weather gets warmer
and food becomes more available, the population grows to its approximate maximum of
16,000 rabbits in June.
The function describing the rabbit population is
= 5000 sinx - )
+ 11,000
%3D
where x is the time in months and f(x) is the rabbit population.
Transcribed Image Text:The rabbit population in a national park rises and falls throughout the year. The population is at its approximate minimum of 6000 rabbits in December. As the weather gets warmer and food becomes more available, the population grows to its approximate maximum of 16,000 rabbits in June. The function describing the rabbit population is = 5000 sinx - ) + 11,000 %3D where x is the time in months and f(x) is the rabbit population.
Solution;
f(6) =5000 sin(x- )+11000;
where
%3D
X is the Hme in month and f) is
the rabbit population.
Time
(months)
Rabbit Population
(rabbits)
Month
December
Jannary
February
March
April
May
June
July
August
September
October
6000
6670
2.
8500
3.
110 00
4.
13500
15330
6.
160 00
15330
8.
13500
|1000
8500
10
November
December
6670
12
6000
Transcribed Image Text:Solution; f(6) =5000 sin(x- )+11000; where %3D X is the Hme in month and f) is the rabbit population. Time (months) Rabbit Population (rabbits) Month December Jannary February March April May June July August September October 6000 6670 2. 8500 3. 110 00 4. 13500 15330 6. 160 00 15330 8. 13500 |1000 8500 10 November December 6670 12 6000
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