Answer:
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and write them in exponential form.
R=logI
2011 earthquake:
9.1I=logI=109.1
2003 earthquake:
8.3I=logI=108.3
Form a ratio of the intensities.
intensity for 2011intensity for 2003
Substitute in the values and divide by subtracting the exponents to find
109.1108.3100.8≈6.
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Your answer:
The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.
