Naturalists find that the population of some kinds of predatory animals vary periodically, Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when time t= 0 years. A minimum number, 200 foxes occured when t = 2.9 years. The next maximum, 800 foxes, occured at t = 5.1 year.
sketch a graph of this sinusoid
write an equation expressing the # of foxes as f(x) of time t
predict pop when t=7
(show on graph that this is correctFoxes are declared to be an endangered species when their population drops below 200. Between what 2 nonega

Question

Naturalists find that the population of some kinds of predatory animals vary periodically, Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when time t= 0 years. A minimum number, 200 foxes occured when t = 2.9 years. The next maximum, 800 foxes, occured at t = 5.1 year.
sketch a graph of this sinusoid
write an equation expressing the # of foxes as f(x) of time t
predict pop when t=7
(show on graph that this is correct>>Foxes are declared to be an endangered species when their population drops below 200. Between what 2 nonega

mani_jha · Answer

|dw:1330499903972:dw|. Forgive me, I m not good at drawing. The amplitude seems to be A= (800-200)/2=300.
Time period(T) = (2.9+1.05)-0=3.95
$$\omega=2\pi/T$$
y=Asin(wt)+200.
Maybe this is it.