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

Algebra ->  Exponential-and-logarithmic-functions -> 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      Log On


   



Question 45015This question is from textbook
: 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.
My answer is 1.098 but I'm not sure if I set this one up right. Thanks for checking.
This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
P = 100e^rt
200 = 100e^r3
2 = e^3r
ln(2) = ln(e^3r)
ln(2) = 3r
ln(2)/3 = r
About 0.23105
23.105%