The population of a bacteria culture doubles in number every 12 minutes. the ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the beginning of the hour is?

Let's say the number of bacteria you initially have is "a."  The number of bacteria doubles every twelve minutes, which means that it doubles 5 times in an hour.  You have(2)(2)(2)(2)(2)a=a∗2^5=32a at the end of the hour.  You started out with only a.  This means your ratio is 32a/a = 32.

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