Final answer:
The Richter scale is used to quantify the energy produced by an earthquake. A rating of 3.6 can cause destruction in areas up to 100 kilometers. Therefore, the value of x when the Richter scale rating is 3.6 is 3.6.
Step-by-step explanation:
The Richter scale is a logarithmic scale that is used to quantify the energy produced by an earthquake. The numbers on the Richter scale represent the amplitude of the seismic waves, which is related to the energy carried by the earthquake. Therefore, the Richter scale rating of 3.6 indicates a certain level of energy released by the earthquake.
However, the destructive effect of an earthquake also depends on other factors such as the distance from the epicenter and the intensity of the shaking. A Richter scale rating of 3.6 can cause destruction in areas of up to 100 kilometers that are populated.
To find the value of x when the Richter scale rating is 3.6, we can use the given information that the destruction can occur in areas up to 100 kilometers. So, x=3.6.