Write the Word or Phrase That Best Completes Each Statement $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$

Essay

Write the word or phrase that best completes each statement or answers the question.
-Wildlife management personnel use predator-prey equations to model the populations of certain predators and
their prey in the wild. Suppose the population M of a predator after t months is given by $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$ while the population N of its primary prey is given by $$N = 12,250 + 3050 \cos \frac { \pi } { 6 } t$$ Find the values of $t , 0 \leq t < 12$ , for which the predator population is 875 . Find the values of $t , 0 \leq t < 12$ , for which the prey population is 10,725 .