SOLUTION: An aftershock measuring 5.5 on the Richter scale occurred south of Christchurch, New Zealand in
June 2011. The magnitude,
M
of an earthquake that is
T
times more intense than
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-> SOLUTION: An aftershock measuring 5.5 on the Richter scale occurred south of Christchurch, New Zealand in
June 2011. The magnitude,
M
of an earthquake that is
T
times more intense than
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Question 1058233: An aftershock measuring 5.5 on the Richter scale occurred south of Christchurch, New Zealand in
June 2011. The magnitude,
M
of an earthquake that is
T
times more intense than an earthquake
measuring 5.5 on the Richter scale can be modeled by the following function:
M = log(T) + 5.5
every one unit of increase on the Richter scale, the intensity of an earthquake increases 10 fold.
a) Graph the function, [show window] and determine how much more intense an earthquake
measuring 7.7 that occurred on Queen Charlotte Islands in October 2012 was than the
aftershock in New Zealand.
b) Determine the value of the function at T=3
explain the answer in the context of this question Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! 7.7=log(t)+5.5
log (t)=2.2
t=10^2.2=158.5 times more intense. Second graph below.
----------------------
when t=3
M=log(3)+5.5
M=5.97 First graph below.
An earthquake that is three times more intense than the one in ChCh has a magnitude of 5.97 or 6.0.
