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kris10

  • 3 years ago

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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  1. harsimran_hs4
    • 3 years ago
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    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??

  2. kris10
    • 3 years ago
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    is there a general formula for this certain question ?

  3. harsimran_hs4
    • 3 years ago
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    no i predicted the trend from the question you need to analyze the question and then find out the answer

  4. harsimran_hs4
    • 3 years ago
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    is there any confusion??

  5. kris10
    • 3 years ago
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    ahhhh

  6. kris10
    • 3 years ago
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    does n stands for the time

  7. harsimran_hs4
    • 3 years ago
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    n = number of hours

  8. kris10
    • 3 years ago
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    \[2^{\frac{ 12 }{4 }}\times2000\]

  9. kris10
    • 3 years ago
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    does it goes like that?

  10. harsimran_hs4
    • 3 years ago
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    yes!!

  11. harsimran_hs4
    • 3 years ago
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    i`ll tell you how i guessed the general trend

  12. kris10
    • 3 years ago
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    16000

  13. harsimran_hs4
    • 3 years ago
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    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

  14. kris10
    • 3 years ago
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    thank you very much

  15. kris10
    • 3 years ago
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    do you know about statistics?

  16. kris10
    • 3 years ago
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    @harsimran_hs4

  17. harsimran_hs4
    • 3 years ago
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    no

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