SOLUTION: The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula G= (t)/(3.3log(base a

Algebra ->  Equations -> SOLUTION: The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula G= (t)/(3.3log(base a      Log On


   

Question 970784: The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula G= (t)/(3.3log(base a)P)
where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 4.5 hours, how long will it take 4 of these bacteria to multiply into a colony of 7,525 bacteria? Round to the nearest hour.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula
:
I think the formula should be G = t%2F%283.3%2Alog%28%28p%2Fa%29%29%29
:
where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period.
:
If the generation time for the bacteria is 4.5 hours, how long will it take 4 of these bacteria to multiply into a colony of 7,525 bacteria? Round to the nearest
hour.
t%2F%283.3%2Alog%28%287525%2F4%29%29%29 = 4.5
find the log mult by 3.3 and you have
t%2F10.8 = 4.5
t = 10.8 * 4.5
t = 48.6 ~ 49 hrs