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Kevin is playing a trivia game. The game awards the player 5 points for each correct answer, but deducts 2 points for each incorrect answer. If Kevin scores more than 100 points, which of the following describes 
x, the number of questions he answered correctly, and 
y, the number of questions he answered incorrectly?
Choose 1 answer:
(A) 
2x+5y > 100
(B) 
5x+2y > 100
(C) 
2x-5y > 100
(D) 
5x-2y > 100

Kevin is playing a trivia game. The game awards the player 55 points for each correct answer, but deducts 22 points for each incorrect answer. If Kevin scores more than 100100 points, which of the following describes x x , the number of questions he answered correctly, and y y , the number of questions he answered incorrectly?\newlineChoose 11 answer:\newline(A) 2 x+5 y>100 \newline(B) 5 x+2 y>100 \newline(C) 2 x-5 y>100 \newline(D) 5 x-2 y>100

Full solution

Q. Kevin is playing a trivia game. The game awards the player 55 points for each correct answer, but deducts 22 points for each incorrect answer. If Kevin scores more than 100100 points, which of the following describes x x , the number of questions he answered correctly, and y y , the number of questions he answered incorrectly?\newlineChoose 11 answer:\newline(A) 2x+5y>100 2 x+5 y>100 \newline(B) 5x+2y>100 5 x+2 y>100 \newline(C) 2x5y>100 2 x-5 y>100 \newline(D) 5x2y>100 5 x-2 y>100
  1. Given Information: We are given that Kevin earns 55 points for each correct answer and loses 22 points for each incorrect answer. To represent the total score, we multiply the number of correct answers (x)(x) by 55 and the number of incorrect answers (y)(y) by 22. The total score is then 5x2y5x - 2y.
  2. Inequality for Total Score: Since Kevin needs to score more than 100100 points, the inequality representing this situation would be his total score being greater than 100100. Therefore, the inequality is 5x - 2y > 100.
  3. Matching the Inequality: We now match our derived inequality with the given choices. The correct inequality that matches our derived inequality is (D) 5x - 2y > 100.

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