After 70/9 = 7 + 7/9 hours the population doubles
48hrs corresponds to (a little bit more than) six times the above span of time:
6 * (7 + 7/9) = 42 + 42/9 = 46 + 2/3
2 ^ 6 = 64
Best estimate for the final population = 60.000 * 64 = 3.840.000,00
Correct answer: E
Just one question for the master users...:
Precise final number of microbes: 60.000 * 1,09 ^ 48 = 3.755.114,22
While according to the given estimating formula, the result would be: 2 ^ (48/70*9) * 60.000 = 4.324.504,63
Why is the estimate so distant from the real result? Am I missing something or is the estimate provided by the text of the problem just as a simple aid to get to the solution and doesn't necessarily have to be extremely accurate? Differently, how was it calculated/can be calculated such an estimate?
Am I missing something?
Thanks
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