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cozyfire Group Title

In an experiment' the population P of bacteria in t hours is given by P=1000e^kt,where k is constant. If the size of the population of bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?

  • one year ago
  • one year ago

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  1. AravindG Group Title
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    first of all : \[\huge \color{green}{\text{WELCOME TO OPENSTUDY!}}\]

    • one year ago
  2. donimic4 Group Title
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    lol

    • one year ago
  3. AravindG Group Title
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    ok now to your question: first use the given information to get value of k

    • one year ago
  4. AravindG Group Title
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    @cozyfire just use the equation and substitute values

    • one year ago
  5. AravindG Group Title
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    k is the unknown

    • one year ago
  6. cozyfire Group Title
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    umm k=0.109861228 what's next??

    • one year ago
  7. AravindG Group Title
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    if you get the value of k use the equation again to get P .

    • one year ago
  8. AravindG Group Title
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    because with k known p is thee only unknown in the second part of question

    • one year ago
  9. cozyfire Group Title
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    what i don't understand is how will you eliminate e using the calculator?? sorry we haven't discussed this yet it's our assignment to figure it out

    • one year ago
  10. AravindG Group Title
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    eliminate e ? then how did you get k value?

    • one year ago
  11. AravindG Group Title
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    in btw the k value you reported is correct as well as accurate :)

    • one year ago
  12. cozyfire Group Title
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    well i kinda followed some equation and just substituted the values but if i will solve this i will get In(P/1000)=5k i don't know what to do next

    • one year ago
  13. AravindG Group Title
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    well lets look at second part then

    • one year ago
  14. AravindG Group Title
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    you got k value as .109 Now \[\large P=1000 e^{0.109 \times 10}\]

    • one year ago
  15. AravindG Group Title
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    e approx value is 2.718

    • one year ago
  16. AravindG Group Title
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    can you do it now?

    • one year ago
  17. AravindG Group Title
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    oops one correction its 5 not 10

    • one year ago
  18. cozyfire Group Title
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    yup thank u very much!!

    • one year ago
  19. AravindG Group Title
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    yw :)

    • one year ago
  20. donimic4 Group Title
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    Your welcome :) lol jk

    • one year ago
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