A bacteria culture initially weighs 2g and grows exponentially . 8 hours later, the culture weighs 18g.

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Question:

A bacteria culture initially weighs 2g and grows exponentially. 8 hours later, the culture weighs 18g. Find a function modeling the weight of the culture as a function of the time (in hours) since the initial observation. Use this function to determine when the bacteria will weigh 27g.