Question
A colony of 1000 weevils grows exponentially to 1750 in one week. a) At what continuous rate is the population growing?
b) How many weeks does it take for the weevil population to reach 3000?
b) How many weeks does it take for the weevil population to reach 3000?
Answers
a) 1750 = 1000 e^(r * 1) ... r is weevils per week
ln(1750 / 1000) = r
b) 3000 = 1000 e^(r * t)
... plug in r ... solve for t (in weeks)
ln(1750 / 1000) = r
b) 3000 = 1000 e^(r * t)
... plug in r ... solve for t (in weeks)
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