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The population of a bacteria culture doubles every 2 minutes

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-population-of-a-bacteria-culture-doubles-every-2-minutes-167378.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 25 Jun 2014, 08:49, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: The population of a bacteria culture doubles every 2 minutes [#permalink] New post 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?
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Re: The population of a bacteria culture doubles every 2 minutes [#permalink] New post 11 Sep 2013, 17:13
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This one's easy.

1000 * 2^t = 500,000
2^t = 500
Now gauging, since 2^8 = 256, then 2^9 = 512
So t = 9

But be careful, 't' is in time intervals of two minutes

So answer is 9*2 = 18 minutes

Answer (E)
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Re: The population of a bacteria culture doubles every 2 minutes [#permalink] New post 12 Sep 2013, 01:26
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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

A. 10
B. 12
C. 14
D. 16
E. 18


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The population of a bacteria culture doubles every 2 minutes [#permalink] New post 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.

Answer: E.

Similar questions to practice:
a-certain-bacteria-colony-doubles-in-size-every-day-for-144013.html
it-takes-30-days-to-fill-a-laboratory-dish-with-bacteria-140269.html
a-certain-culture-of-bacteria-quadruples-every-hour-if-a-52258.html
the-number-of-water-lilies-on-a-certain-lake-doubles-every-142858.html
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OPEN DISCUSSION OF THIS QUESTION IS HERE: the-population-of-a-bacteria-culture-doubles-every-2-minutes-167378.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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