SOLUTION: The population P of a certain is expected to be given by a model P= 100e^rt where r is constant to be determined and t is a number of days since the original population of 100 was

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population P of a certain is expected to be given by a model P= 100e^rt where r is constant to be determined and t is a number of days since the original population of 100 was       Log On


   

Question 1201441: The population P of a certain is expected to be given by a model P= 100e^rt where r is 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 300 in 6 days
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
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population P of a certain is expected to be given by a model cross%28P=100e%5Ert%29 P=100e%5E%28rt%29 where r is constant to be determined and t is a number of days since the original population of 100 was established.
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Find the value of r if the population is expected to reach 300 in 6 days.
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ln%28P%29=ln%28100e%5E%28rt%29%29
ln%28P%29=ln%28100%29%2Bln%28e%5E%28rt%29%29
ln%28P%29=ln%28100%29%2Brt%2A1
rt=ln%28P%29-ln%28100%29
highlight_green%28r=%28ln%28P%29-ln%28100%29%29%2Ft%29

Now just substitute the given values and evaluate r.