Math  /  Algebra

QuestionA population of animals oscillates sinusoidally between a low of 600 on January 1 and a high of 800 on July 1. Graph the population against time and use your graph to find a formula for the population PP as a function of time tt, in months since the start of the year. Assume that the period of PP is one year. P(t)=P(t)= \square

Studdy Solution
P(t)=100cos(π6t)+700 P(t) = -100 \cdot \cos\left(\frac{\pi}{6} t\right) + 700

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