If a certain culture of bacteria increases by a constant factor of \(x\) every \(y\) minutes, how long will it take for

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If a certain culture of bacteria increases by a constant factor of \(x\) every \(y\) minutes, how long will it take for the culture to increase to ten thousand times its original size?

1. \(x=10^y\)
2. In two minutes, the culture will increase to one hundred times its original size.

Answer: D

Source: Manhattan GMAT