5. In predator-prey relationships, the populations of the predator and prey are often cyclical. In a conservation area, rangers monitor the population of carnivorous animals and have determined that the population can be modeled by the function P(t) = 40 cos πt/6 + 100 where t is the number of months from the time monitoring began. Use the model to estimate the population of carnivorous animals in the conservation area after 14 months, 20 months, and 30 months. A. The population of carnivorous animals in the conservation area after 14 months is animals. (Type an integer or a simplified fraction.)
B. The population of carnivorous animals in the conservation area after 20 months is animals. (Type an integer or a simplified fraction.)
C. The population of carnivorous animals in the conservation area after 30 months is animals. (Type an integer or a simplified fraction.)