Question

7. The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Mexico than by the earthquake in Afghanistan?

Afghanistan 6.9
Mexico 7.6


about 42.36 times as much energy
about 0.70 times as much energy
about 5.01 times as much energy
about 21 times as much energy

Answer 1

I had this on a quiz recently, the answer is 5.01. Hope this helps!

Explanation:

Answer 2

Option C. about 5.01 times as much energy

Explanation:

It is given in the question

Country magnitude of the earthquake

Afghanistan 6.9

Mexico 7.6

We know that when we compare the intensity of the earthquakes it is represented by
`10^{(M_(1)-M_(2))}` where M1 and M2 are the measurements of earthquakes in different areas.

Now ratio of the energy released by earthquake in Mexico and Afghanistan

=
`10^{(M_(1)-M_(2))}=10^((7.6-6.9))=10^(0.7)=5.01`

Therefore Option C. is the answer.