Let's determine the number of earthquakes in each state based on the provided land area and seismic activity density.
Given data:
- Land area of State A: 163,696 square meters.
- Seismic activity density of State A: 0.0299.
- Land area of State B: 10,931 square meters.
- Seismic activity density of State B: 0.1402.
To find the number of earthquakes in each state, we multiply the land area by the seismic activity density.
### Step-by-Step Solution:
1. Calculate the number of earthquakes for State A:
[tex]\[
\text{Number of Earthquakes in State A} = \text{Land Area of State A} \times \text{Seismic Activity Density of State A}
\][/tex]
[tex]\[
= 163,696 \times 0.0299
\][/tex]
[tex]\[
= 4894.5104
\][/tex]
2. Calculate the number of earthquakes for State B:
[tex]\[
\text{Number of Earthquakes in State B} = \text{Land Area of State B} \times \text{Seismic Activity Density of State B}
\][/tex]
[tex]\[
= 10,931 \times 0.1402
\][/tex]
[tex]\[
= 1532.5262
\][/tex]
3. Calculate the difference in the number of earthquakes between State A and State B:
[tex]\[
\text{Difference} = \left| \text{Number of Earthquakes in State A} - \text{Number of Earthquakes in State B} \right|
\][/tex]
[tex]\[
= \left| 4894.5104 - 1532.5262 \right|
\][/tex]
[tex]\[
= 3361.9842
\][/tex]
After performing the calculations, we can conclude the following:
- State A had approximately 3,362 more earthquakes than State B.
Thus, the correct statement is: State A had approximately 3,362 more earthquakes than State B.
