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29 January, 12:42

Roberto has been studying a type of bacteria that doubles every month. Originally, there were 3 bacterial cells. He wants to know how many there will be after 43 months. Which equation should he use?

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  1. 29 January, 13:08
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    Not sure if there should be options listed, but here is an equation he should use:

    f (t) = 3*2^t, where t = number of months since first observation.

    or

    f (t) = 3*2^ (t-1), if the moment of observation is t=1

    If this isn't an availabe option, plug in a few values for t (number of months) and make sure they match our values

    Based on the first equation:

    When t = 0 (when Roberto first observes the bacteria):

    f (0) = 3*2^0 = 3*1 = 3

    f (1) = 3*2^1 = 3*2 = 6

    f (2) = 3*2^2 = 3*4 = 12

    and so on until ...

    f (43) = 3*2^43 = 26,388,279,066,624 That's a lotta bacteria!
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