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QuizMultiple Choice

Systems of Inequalities — Quiz

Question 1 • Algebra 2

A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at open paren 0 comma 0 close paren on a coordinate grid, the system of inequalities represents this scenario. open parenthesis x minus 20 close parenthesis squared plus open parenthesis y minus 14 close parenthesis squared is less than or equal to 625; open parenthesis x plus 8 close parenthesis squared plus open parenthesis y minus 3 close parenthesis squared is less than or equal to 196 Which location relative to Columbia felt both earthquakes?

Answer
A
2 km east and 10 km north
B
6 km west and 4 km north
C
6 km east and 8 km north
D
4 km west and 12 km south
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