AP Calc BC: How to Solve a Logistic Growth Application Problem
A 2000 − gallon tank can support no more than 150 guppies. Six guppies are introduced into the tank.
Assume that the rate of growth of the population is , where time , is in weeks.
dP
dt = 0. 0015P(150 − P) t
a) Find a formula for the guppy population in terms of t.
b) How long will it take for the guppy population to be 100? 125?
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