SOLUTION: A rabbit population rises and falls each year. It is at a minimum of 4000 rabbits in January and a maximum of 4600 rabbits six months later. By the following January the population
Question 1137712: A rabbit population rises and falls each year. It is at a minimum of 4000 rabbits in January and a maximum of 4600 rabbits six months later. By the following January the population drops again to 4000 rabbits. Let P(t) model the number of rabbits in the population where t is the number of months since January. (Suppose when t=0 that it is the first January.)
P(t)=Acos(Bt)+C
P(t) = ,
t is the sequential number of the month in the year, starting from t = 0 for January.
A = -300 (300 is the amplitude); B = ; C = 4300 - the average value per year.