Final answer:
Nevan wins the trivia game and scores 7464 points.
Step-by-step explanation:
To determine if Nevan wins the trivia game, we need to calculate his total score. Each correct answer is worth 134 points and each incorrect answer is worth -14 points.
Nevan got 58 questions correct and 22 questions incorrect.
To calculate his total score, we multiply the number of correct answers by the points earned for each correct answer and subtract the number of incorrect answers multiplied by the points lost for each incorrect answer.
Total score = (58 * 134) + (22 * -14) = 7772 - 308 = 7464 points.