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) 2 x+5 y>100 (B) 5 x+2 y>100 (C) 2 x-5 y>100 (D) 5 x-2 y>100
Q. 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
Given Information: We are given that Kevin earns 5 points for each correct answer and loses 2 points for each incorrect answer. To represent the total score, we multiply the number of correct answers (x) by 5 and the number of incorrect answers (y) by 2. The total score is then 5x−2y.
Inequality for Total Score: Since Kevin needs to score more than 100 points, the inequality representing this situation would be his total score being greater than 100. Therefore, the inequality is 5x - 2y > 100.
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.