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? Earthquake Location Date Richter Scale Measure Italy October 31, 2002 5.9 El Salvador February 13, 2001 6.6 Afghanistan May 30, 1998 6.9 Mexico January 22, 2003 7.6 Peru June 23, 2001 8.1 (1 point) Responses about 42.36 times as much energy about 42.36 times as much energy about 0.70 times as much energy about 0.70 times as much energy about 5.01 times as much energy about 5.01 times as much energy about 21 times as much energy
To compare the energy released by the earthquakes in Mexico and Afghanistan, we can use the Richter Scale as a measure of the magnitude of the earthquakes.
The Richter Scale is logarithmic, which means that each whole number increase on the scale represents 10 times more energy release.
The earthquake in Afghanistan had a magnitude of 6.9, while the earthquake in Mexico had a magnitude of 7.6.
To determine the difference in energy release, we can calculate the ratio of the energy released by the earthquake in Mexico to the energy released by the earthquake in Afghanistan.
The ratio can be calculated as follows:
Ratio = 10^(7.6 - 6.9)
Simplifying this calculation, we get:
Ratio = 10^0.7
Using a calculator, we find that 10^0.7 is approximately equal to 5.01.
Therefore, the earthquake in Mexico released about 5.01 times more energy than the earthquake in Afghanistan.
The correct response is "about 5.01 times as much energy".