SOLUTION: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,800 bacteria. Find an exponential model for the size of the culture as a function of time t in hours. f(

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,800 bacteria. Find an exponential model for the size of the culture as a function of time t in hours. f(      Log On


   



Question 1190861: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,800 bacteria. Find an exponential model for the size of the culture as a function of time t in hours.
f(t) =
Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.)
______ bacteria

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
1800=1200%2A%281%2Br%29%5E2
18%2F12=%281%2Br%29%5E2
3%2F2=%281%2Br%29%5E2
sqrt%281.5%29=1%2Br
r=sqrt%281.5%29-1
r=0.22474
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highlight%28y=1200%281.22474%29%5Ex%29-----------this is for x in hours. Your question asks for the resulting y based on a variable in DAYS, so this 2 days will be 48 HOURS.