Trigonometry Question
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Grade 11 Trigonometry CCSS: HSF-TF.B.7
A certain island is populated mainly by deer and coyotes. The coyotes mainly eat the deer, and the deer have no other predators. These two groups of animals exhibit a predator-prey relationship. There are currently a lot of deer on the island. Therefore the coyote population will increase because of abundant food. As it does, the deer population will decrease because of more predators. Then, the coyote population will decrease as their food source diminishes, which will allow the deer population to rebound, and the cycle will continue.
The deer population can be modeled by the function D(w)=60cos(π75w)+160, where D is the number of deer on the island and w is the number of weeks since the current date. How many weeks will it take for the deer population to decrease by 90 deer from its current level?
The deer population can be modeled by the function D(w)=60cos(π75w)+160, where D is the number of deer on the island and w is the number of weeks since the current date. How many weeks will it take for the deer population to decrease by 90 deer from its current level?
- 2 weeks
- 75 weeks
- 25 weeks
- 50 weeks