The decline of a certain animal species' population, currently estimated to be 22,000, can be modeled by the quadratic function p(= –0.5x2 + 22,000, where x is the number of years after 2015. Based on only this information, and assuming no intervention to change the path of the population, which of the following statements must be true?
A. This species will be extinct by the end of the year 2225.
B. The animal population for this species is decreasing at a constant rate.
C. In approximately 100 years, the animal population for this species will be about half what it was in 2015.
D. The animal population will increase or decrease from the initial 2015 level, depending on the year after 2015.
Answer:A
The decline of a certain animal species' population, currently estimated to be 22,000, can be modeled by the quadratic function p(= –0.5x2 + 22,000, where x is the number of years after 2015. Based on only this information, and assuming no intervention to change the path of the population, which of the following statements must be true?
A. This species will be extinct by the end of the year 2225. B. The animal population for this species is decreasing at a constant rate. C. In approximately 100 years, the animal population for this species will be about half what it was in 2015. D. The animal population will increase or decrease from the initial 2015 level, depending on the year after 2015.
Explanation: A