1.) The rate of change of an experimental population of fruit flies is proportio

Question

1.) The rate of change of an experimental population of fruit flies is proportional to the population P at any time t (in days). There were 110 flies after the third day of the experiment and 770 flies after the sixth day. Approximately how many flies were in the original population? 2.) A wet towel hung from a clothesline to dry loses moisture through evaporation at a rate proportional to its moisture content. If after 1 hour the towel has lost 50% of its original moisture content, after how long will it have lost 80%? (Round your answer to 2 decimal places.)

Explanation / Answer

dP/dt=kP lnP=kt+c P=ae^(kt) 110=ae^(3k) 770=ae^(6k) 7=e^(3k) k=ln7/3=0.65 a=110/(e^(3*0.65)) =16

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