Question

In 1964, the United States experienced an intense earthquake with a magnitude of 9.2 on the Richter scale. In 2008, China experienced an earthquake that measured 7.9 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answer 1

Answer:

The intensity of the 1964 earthquake was about 20 times the intensity of the 2008 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

1964 earthquake:

9.2I=logI=109.2

2008 earthquake:

7.9I=logI=107.9

Form a ratio of the intensities.

intensity for 1964intensity for 2008

Substitute in the values and divide by subtracting the exponents to find

109.2107.9101.3≈20.

The intensity of the 1964 earthquake was about 20 times the intensity of the 2008 earthquake.

Your answer:

The intensity of the 2008 earthquake was about 30 times the intensity of the 1964 earthquake.

Answer 2

Answer:

The intensity of the 1964 earthquake was about 20 times the intensity of the 2008 earthquake

Step-by-step explanation: