kris10
A certain kind of bacteria doubles every 4 hours. If initially there are 2000 bacteria, how many will be produced in 12 hours?
Delete
Share
This Question is Open
harsimran_hs4
Best Response
You've already chosen the best response.
0
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??
kris10
Best Response
You've already chosen the best response.
0
is there a general formula for this certain question ?
harsimran_hs4
Best Response
You've already chosen the best response.
0
no i predicted the trend from the question
you need to analyze the question and then find out the answer
harsimran_hs4
Best Response
You've already chosen the best response.
0
is there any confusion??
kris10
Best Response
You've already chosen the best response.
0
ahhhh
kris10
Best Response
You've already chosen the best response.
0
does n stands for the time
harsimran_hs4
Best Response
You've already chosen the best response.
0
n = number of hours
kris10
Best Response
You've already chosen the best response.
0
\[2^{\frac{ 12 }{4 }}\times2000\]
kris10
Best Response
You've already chosen the best response.
0
does it goes like that?
harsimran_hs4
Best Response
You've already chosen the best response.
0
yes!!
harsimran_hs4
Best Response
You've already chosen the best response.
0
i`ll tell you how i guessed the general trend
kris10
Best Response
You've already chosen the best response.
0
16000
harsimran_hs4
Best Response
You've already chosen the best response.
0
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
kris10
Best Response
You've already chosen the best response.
0
thank you very much
kris10
Best Response
You've already chosen the best response.
0
do you know about statistics?
kris10
Best Response
You've already chosen the best response.
0
@harsimran_hs4
harsimran_hs4
Best Response
You've already chosen the best response.
0
no