The number of insects in a certain population at time 1 days is modeled by the function P with first derivative P'(1) = 0.31² + 121 + 210. At time 1 = 0, the number of insects in the population is 40. Which of the following statements are true? I. At time 1 = 10, the number of insects in the population is 2840. II. At time 1 = 10, the number of insects in the population is increasing at a rate of 360 insects per day. III. At time 1 = 10, the rate of change of the number of insects in the population is increasing at a rate of 18 insects per day per day. (A) Ionly (B) П only (C) III only (D) I, II, and III

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AP Calculus

The number of insects in a certain population at time 1 days is modeled by the function P with first derivative
P'(1) = 0.31² + 121 + 210. At time 1 = 0, the number of insects in the population is 40. Which of the following
statements are true?
I. At time 1 = 10, the number of insects in the population is 2840.
II. At time 1 = 10, the number of insects in the population is increasing at a rate of 360 insects per day.
III. At time 1 = 10, the rate of change of the number of insects in the population is increasing at a rate of
18 insects per day per day.
(A) Ionly
(B) II only
(C) III only
(D) I, II, and III
Transcribed Image Text:The number of insects in a certain population at time 1 days is modeled by the function P with first derivative P'(1) = 0.31² + 121 + 210. At time 1 = 0, the number of insects in the population is 40. Which of the following statements are true? I. At time 1 = 10, the number of insects in the population is 2840. II. At time 1 = 10, the number of insects in the population is increasing at a rate of 360 insects per day. III. At time 1 = 10, the rate of change of the number of insects in the population is increasing at a rate of 18 insects per day per day. (A) Ionly (B) II only (C) III only (D) I, II, and III
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