SOLUTION: THE POPULATION P OF A CERTAIN CULTURE IS EXPECTED TO BE GIVEN BY A MODEL P=100e^rt WHERE r IS A CONSTANT TO BE DETERMINED AND t IS A NUMBER OF DAYS SINCE THE ORIGINAL POPULATION OF

Question 63951: THE POPULATION P OF A CERTAIN CULTURE IS EXPECTED TO BE GIVEN BY A MODEL P=100e^rt WHERE r IS A CONSTANT TO BE DETERMINED AND t IS A NUMBER OF DAYS SINCE THE ORIGINAL POPULATION OF 100 WAS ESTABLISHED. FIND THE VALUE OF r IF THE POPULATION IS EXPECTED TO REACH 200 IN 3 DAYS.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
P=100e^rt
200 = 100e^(3r)
2=e^(3r)
Take the natural log of both sides:
3r=ln2
r=(ln2)/3
r=0.231 or 23.1%
Cheers,
Stan H.
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