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

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^0.2t
Answer by ankor@dixie-net.com(22740) (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
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