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On the Richter scale, which measures the total amount of energy releas

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New post 19 Aug 2010, 22:42
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On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 5?

A. 40
B. 50
C. 10^4
D. 10^5
E. 10^6

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New post 19 Aug 2010, 22:58
posting to follow answer explanation
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New post 20 Aug 2010, 02:30
I m not getting the question :(
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Re: On the Richter scale, which measures the total amount of energy releas  [#permalink]

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New post 20 Aug 2010, 06:46
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aiming4mba wrote:
On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 5?
a.40
b.50
c.10^4
d.10^5
e.10^6


We have functional relationship where \(\frac{f(x)}{10}=f(x-1)\) --> \(f(x)=f(x-1)*10\), so \(f(6)=f(5)*10\) and so on. So \(f(9)=f(5)*10^4\).

Answer: C.

Hope it's clear.
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Re: On the Richter scale, which measures the total amount of energy releas  [#permalink]

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New post 21 Aug 2010, 16:32
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Quote:
On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 5?


See if Richter scale reading goes from X to X-1 implies 1/10 right (as per the question)
so if Richter scale reading goes from X-1 to X it will be 10 right

So if Richter scale reading goes from 5 to 6 it will be 10
Similarly if Richter scale reading goes from 6 to 7 it will be 10
and if Richter scale reading goes from 7 to 8 it will be 10
and if Richter scale reading goes from 8 to 9 it will be 10

so it will from 5 to 9 i.e 6,7,8,9 = 10*10*10*10 = 10^4

You only need to count it on your fingers no need to use pen i.e. 6,7,8,9 answer is 10^4

Let me know in case of any concerns
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New post 25 Aug 2010, 08:30
Thanks, Bunuel!!!
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Re: On the Richter scale, which measures the total amount of energy releas  [#permalink]

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New post 09 Apr 2018, 00:49
aiming4mba wrote:
On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 5?

A. 40
B. 50
C. 10^4
D. 10^5
E. 10^6


f(x-1) = f(x)/10
f(x) = f(x-1) * 10

f(9) = f(8)*10 = f(7) * 10^2= f(6) * 10^3 = F(5) * 10^4

Answer C
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Re: On the Richter scale, which measures the total amount of energy releas   [#permalink] 09 Apr 2018, 00:49
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