A certain kind of bacteria doubles every 4 hours. If initially there are 2000 bacteria, how many will be produced in 12 hours?
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OpenStudy (harsimran_hs4):
well if it becomes double very 4 hours then it will become 4times in 8 hours and finally 8times after 12 hours
so 2^(n/4)* 2000 will be strength of bacteria after n hours
clear??
OpenStudy (anonymous):
is there a general formula for this certain question ?
OpenStudy (harsimran_hs4):
no i predicted the trend from the question
you need to analyze the question and then find out the answer
OpenStudy (harsimran_hs4):
is there any confusion??
OpenStudy (anonymous):
ahhhh
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OpenStudy (anonymous):
does n stands for the time
OpenStudy (harsimran_hs4):
n = number of hours
OpenStudy (anonymous):
\[2^{\frac{ 12 }{4 }}\times2000\]
OpenStudy (anonymous):
does it goes like that?
OpenStudy (harsimran_hs4):
yes!!
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OpenStudy (harsimran_hs4):
i`ll tell you how i guessed the general trend
OpenStudy (anonymous):
16000
OpenStudy (harsimran_hs4):
look it`s getting double of the previous so everytime it`s getting multiplied by 2
say initially they were 2000 in number the
they would be 2* 2000 then again next would be 2* 2* 2000
so this can be generalized as 2^m *2000
but observing we find that they multiply every 4 hours not 1 hour so 2^(n/4) * 2000
hope this clears up doubts in your mind
OpenStudy (anonymous):
thank you very much
OpenStudy (anonymous):
do you know about statistics?
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