algebra 2

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A colony of germs grows exponentially. It starts at 500 germs. After 8 minutes there are 600 germs. When will there be 1000 germs?

  • algebra 2 -

    600=500e^a8 where a is a constant.
    1000=600e^aX

    solve for a in the first equation:
    1.2=e^8a
    take ln of both sides
    8a=.182
    a=.02279

    now put that in the second equation

    1000/600=e^ax
    take ln both sides
    .511=ax= .02279x
    x=22.4 min from when it was 600,or 30.4 min from the start.

    check my work

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