SOLUTION: Hi there! I have a question about a problem that I cannot seem to figure out: Antibiotic B is taken every 6 hours and has an effectiveness factor of 90%. How an I determine t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Hi there! I have a question about a problem that I cannot seem to figure out: Antibiotic B is taken every 6 hours and has an effectiveness factor of 90%. How an I determine t      Log On


   

Question 438485: Hi there! I have a question about a problem that I cannot seem to figure out:
Antibiotic B is taken every 6 hours and has an effectiveness factor of 90%.
How an I determine the bacterial population after 3 days in a patient who has an initial population count of 2000 ?
Thank you so much!
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
If the antibiotic B is taken every 6 hours, then it is taken 4 times a day. After each dose, the remaining population of bacteria is only 10%, or .1, of what it was. Therefore, the remaining bacteria is 2000x.1^12, or .000000002..