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The population of a bacteria culture doubles every 2 minutes [#permalink]
13 Mar 2008, 19:39

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Difficulty:

45% (medium)

Question Stats:

66% (01:55) correct
34% (01:10) wrong based on 158 sessions

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

Re: The population of a bacteria culture doubles every 2 minutes [#permalink]
13 Mar 2008, 21:42

Is not quite that. min 0 - 1,000 min 2 - 2,000=1,000*2^1 min 4 - 4000=1000*2^2; min 6 - 8000=1000*2^3

Be careful! It doubles every 2 minutes.

So, 1,000*2^x=500,000 2^x=500. It asks you to approx. You know that 2^9=512, so x=9. Because the pop doubles every 2 minutes, the result=9*2=18 minutes. OA?

Re: The population of a bacteria culture doubles every 2 minutes [#permalink]
12 Sep 2013, 01:26

Expert's post

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alimad wrote:

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

The population of a bacteria culture doubles every 2 minutes [#permalink]
25 Jun 2014, 08:50

Expert's post

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria?

(A) 10 (B) 12 (C) 14 (D) 16 (E) 18

\(1000 * 2^t = 500,000\) --> \(2^t = 500\) --> since \(2^9 = 512\), then \(t\approx{9}\). Thus, approximately 9 two-minute intervals are needed, whcih is 18 minutes.

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