Question

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 )

Explanation:

Step1: Calculate points from correct answers

Points from correct answers: $5x$

Step2: Calculate points lost from incorrect answers

Points lost from incorrect answers: $2y$

Step3: Set up total score inequality

Total score = points from correct answers - points lost, which is greater than 100: $5x - 2y > 100$

Answer:

D. $5x - 2y > 100$