A bacterium triples in size every 6 minutes. If you start with 3 bacterium in a dish, which of the following calculates the total amount of bacteria
after t hours?

3^t+1

3(2)^10t

3•3^t/6

3(2)^10t+1

None of the above

9514 1404 393

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

think about it deeply and passionately about this property

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