# SOLUTION: the population of a colony of bateria is growing exponentially according to the function below , where t is the time in hours. how long will it take for the population of the colo

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: the population of a colony of bateria is growing exponentially according to the function below , where t is the time in hours. how long will it take for the population of the colo      Log On

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 Click here to see ALL problems on Rational-functions Question 271545: the population of a colony of bateria is growing exponentially according to the function below , where t is the time in hours. how long will it take for the population of the colony to grow to 1,000 B(t)=12*e^0.2tAnswer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!the population of a colony of bacteria is growing exponentially according to the function below , where t is the time in hours. how long will it take for the population of the colony to grow to 1,000 B(t)=12*e^0.2t : = 1000 = Use the nat logs = = nat log of e is 1, so we have .2t = 4.22848 t = t = 22.1142 hrs to reach 1000 ; Check on a calc using t=22.1142 enter: 12*e^(.2*22.1142) = 999.99 ~1000