Mathematics

Mathematics

Problem

A population of insects in a greenhouse is modeled by the function P(t)P(t), where tt is the number of days after the start of observation and P(t)P(t) is measured in hundreds of insects. If P′(7)=−3P'(7)=-3, which of the following is the best interpretation of this value? a) The population increases by about 300300 insects per day at t=7t=7 days. b) The population decreases by about 300300 insects per day at t=7t=7 days. c) The population decreases by about 33 insects per day at t=7t=7 days. d) On average, the population has decreased by about 300300 insects per day during the first 77 days.

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