Trigonometric Functions: 5. A rabbit population fluctuates over the course of a year depending on hibernation of predators as well as availability of food. It is at it's highest value on January 1st of 215 rabbits and hits its lowest value July 1st of 121 rabbits and it follows a wave (sine/cosine) curve. Find a function P that models the population of the rabbits over time t, the number of days from January 1. b. What proportion of the year will the rabbit population be over 170 rabbits?? How would the original equation change if the rabbits started in the exact middle of their population average on January 1st? а. С.

Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter4: Graphing And Inverse Functions
Section4.2: Amplitude, Reflection, And Period
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Trigonometric Functions:
5. A rabbit population fluctuates over the course of a year depending on hibernation of predators as
well as availability of food. It is at it's highest value on January 1st of 215 rabbits and hits its lowest
value July 1st of 121 rabbits and it follows a wave (sine/cosine) curve.
a. Find a function P that models the population of the rabbits over time t, the number of days
from January 1.
b. What proportion of the year will the rabbit population be over 170 rabbits??
How would the original equation change if the rabbits started in the exact middle of their
population average on January 1st?
С.
Transcribed Image Text:Trigonometric Functions: 5. A rabbit population fluctuates over the course of a year depending on hibernation of predators as well as availability of food. It is at it's highest value on January 1st of 215 rabbits and hits its lowest value July 1st of 121 rabbits and it follows a wave (sine/cosine) curve. a. Find a function P that models the population of the rabbits over time t, the number of days from January 1. b. What proportion of the year will the rabbit population be over 170 rabbits?? How would the original equation change if the rabbits started in the exact middle of their population average on January 1st? С.
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