Q:

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

Accepted Solution

A:
Answer:State A had approximately 3,362 more earthquakes than State BStep-by-step explanation:Letx-----> the number of earthquakes during a given time spany ----> the land area affectedz----> seismic activity density of a region step 1Find the number of earthquakes during a given time span of State Awe know that[tex]z=\frac{x}{y}[/tex]we have[tex]z=0.0299\\ y=163,696\ mi^{2}[/tex]substitute and solve for x[tex]0.0299=\frac{x}{163,696}\\ x=0.0299*(163,696)=4,895\ earthquakes[/tex]step 2Find the number of earthquakes during a given time span of State Bwe know that[tex]z=\frac{x}{y}[/tex]we have[tex]z=0.1402\\ y=10,931\ mi^{2}[/tex]substitute and solve for x[tex]0.1402=\frac{x}{10,931}\\ x=0.1402*(10,931)=1,533\ earthquakes[/tex]step 3Compare the number of earthquakes both statesstate A ----> [tex]4,895\ earthquakes[/tex]state B ----> [tex]1,533\ earthquakes[/tex]Find the difference[tex]4,895-1,533=3,362\ earthquakes[/tex]thereforeState A had approximately 3,362 more earthquakes than State B