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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.
Since there are 2 variables (x,y) in the original condition, we need 2 equations to match the number of variables and equations. We have 1 each in 1) and 2), therefore C is likely the answer.
Using both 1) & 2) together,
In case of 1), x=10^6. Since the value is multiplied by 10^6 every 6 minute, the answer is 6 minute.
In case of 2), since the value is multiplied by 100 every 2 minute, it's 10,000times for 4 minutes and 1,000,000 for 6 minutes. Since 1) = 2), The answer is D.
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