MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation
Problem
The population of fish in a lake, measured in hundreds, is modeled by a differentiable function P(t), where t is the number of years after 2020. Given that P(4)=12 and P′(4)=−1.3, which statement best interprets P′(4)?
(a) Four years after 2020, the population is increasing at approximately 1.3 hundred fish per year.
(b) Four years after 2020, the population is decreasing at approximately 1.3 fish per year.
(c) Four years after 2020, the population is decreasing at approximately 1.3 hundred fish per year.
(d) Four years after 2020, the population is decreasing at approximately 0.325 hundred fish per year.