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10 Dec 2015, 03:42
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Is (1) sufficient?
A group of rabbits multiplies at a constant rate. By what factor does its population increase every day?
(1) The population grows from 200 to 5,000 in one week.
This is a question from M-gmat flashcards. The answer is pretty clear. Sufficient!. But I wanted to solve it. "by what factor does it's population increase everyday?" someone help me with a clear solution.
I tried to use the constant growth model (population = mx + c) such that p = mx + 200. on the 7th day, (5000 = 6m + 200). can i use this equation to get the factor by which the rabbit population increases everyday?. If so, how? if not, what's the method?
A group of rabbits multiplies at a constant rate. By what factor does its population increase every day?
(1) The population grows from 200 to 5,000 in one week.
This is a question from M-gmat flashcards. The answer is pretty clear. Sufficient!. But I wanted to solve it. "by what factor does it's population increase everyday?" someone help me with a clear solution.
I tried to use the constant growth model (population = mx + c) such that p = mx + 200. on the 7th day, (5000 = 6m + 200). can i use this equation to get the factor by which the rabbit population increases everyday?. If so, how? if not, what's the method?
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10 Dec 2015, 03:57
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Nez
Your method might work but a better way to deal with populations that are increasing via multiplication is by using an exponential relation,\(P_t=P_o*r^t\), where \(P_o\) and \(P_t\) = Populations at time 't'= initial and final time frames respectively and r= constant rate of population increase.
Thus, \(P_t\)=5000, \(P_o\)=200, t = 7, r = 1.58 rabbits/day.
Hope this helps.
10 Dec 2015, 12:03
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Hi Nez,
Since your question is in regards to a DS prompt, and I understand why you might be interested in the general knowledge behind how the math 'works', it's important to know that the knowledge you're asking for is unnecessary if your goal is to score at a high level on Test Day. The GMAT will NOT ask you to do that math - it's presented here in a DS question to test your conceptual understanding and not your calculation ability.
DS question are often designed with 'shortcuts' built into them, so that a strong critical thinker can get to the correct answer without doing lots of difficult calculations. You have to learn to take advantage of those options and not get hung up on an 'all math, all the time' mindset. You seem to understand that this information is sufficient to answer the question that is asked - when dealing with either Fact in a DS question, once you KNOW (or have proof) that a Fact is sufficient, then you should stop working.
GMAT assassins aren't born, they're made,
Rich
Since your question is in regards to a DS prompt, and I understand why you might be interested in the general knowledge behind how the math 'works', it's important to know that the knowledge you're asking for is unnecessary if your goal is to score at a high level on Test Day. The GMAT will NOT ask you to do that math - it's presented here in a DS question to test your conceptual understanding and not your calculation ability.
DS question are often designed with 'shortcuts' built into them, so that a strong critical thinker can get to the correct answer without doing lots of difficult calculations. You have to learn to take advantage of those options and not get hung up on an 'all math, all the time' mindset. You seem to understand that this information is sufficient to answer the question that is asked - when dealing with either Fact in a DS question, once you KNOW (or have proof) that a Fact is sufficient, then you should stop working.
GMAT assassins aren't born, they're made,
Rich
