Question

Which statement about the number of earthquakes the states had for the given time span is true?

Answer 1

C.

Explanation:

Answer 2

State A had approximately 3,362 more earthquakes than State B

Explanation:

Let

x-----> the number of earthquakes during a given time span

y ----> the land area affected

z----> seismic activity density of a region

step 1

Find the number of earthquakes during a given time span of State A

we know that

`z=(x)/(y)`

we have

`z=0.0299\\ y=163,696\ mi^(2)`

substitute and solve for x

`0.0299=(x)/(163,696)\\ x=0.0299*(163,696)=4,895\ earthquakes`

step 2

Find the number of earthquakes during a given time span of State B

we know that

`z=(x)/(y)`

we have

`z=0.1402\\ y=10,931\ mi^(2)`

substitute and solve for x

`0.1402=(x)/(10,931)\\ x=0.1402*(10,931)=1,533\ earthquakes`

step 3

Compare the number of earthquakes both states

state A ---->
`4,895\ earthquakes`

state B ---->
`1,533\ earthquakes`

Find the difference

`4,895-1,533=3,362\ earthquakes`

therefore

State A had approximately 3,362 more earthquakes than State B