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A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^

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A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^

by BTGModeratorVI » Tue Jul 07, 2020 6:18 am

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A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official guide
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Re: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was

by Jay@ManhattanReview » Thu Jul 09, 2020 8:48 pm
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:18 am
 A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official guide
Given that the population of bacteria doubles every 10 minutes, in 1 hour = 60 minutes, it will double 60/10 = 6 times.

The population of bacteria in 1 hour = (2^6)(10^4)

Correct answer: C

Hope this helps!

-Jay
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Re: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was

by Brent@GMATPrepNow » Sat Jul 11, 2020 9:15 am
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:18 am
 A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official guide
Let's list some populations and look for a pattern

Initial population: 10⁴
10 minutes later: (10⁴)(2)
20 minutes later: (10⁴)(2)(2)
30 minutes later: (10⁴)(2)(2)(2)
40 minutes later: (10⁴)(2)(2)(2)(2)
50 minutes later: (10⁴)(2)(2)(2)(2)(2)
60 minutes later: (10⁴)(2)(2)(2)(2)(2)(2) = (10⁴)(2⁶)

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was

by Scott@TargetTestPrep » Sat Jul 11, 2020 1:14 pm
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:18 am
 A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

(A) 2(10^4)
(B) 6(10^4)
(C) (2^6)(10^4)
(D) (10^6)(10^4)
(E) (10^4)^6

Answer: C
Source: Official guide
Solution:

Since one hour has 6 ten-minute intervals, after one hour the population is 10^4 x 2^6.

Answer: C

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