SOLUTION: Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 3000 bacteria selected from this populatio

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Question 1089366: Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of
3000
bacteria selected from this population reached the size of
3622
bacteria in six hours. Find the hourly growth rate parameter.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, population after given time x
x, time of passage in hours
p, size of initial population
k, constant for growth rate
y=p%2Ae%5E%28kx%29


3000%2Ae%5E%286k%29=3622
e%5E%286k%29=3622%2F3000
ln%28e%5E%286k%29%29=ln%281.2073333%29
6k%2A1=0.1884
k=0.1884%2F6
highlight%28k=0.0314%29