David is playing a trivia game where he gains points for correct answers and loses points for incorrect answers. At the start of round 3 his score is −1500 points. During round 3 he answered five 1000 point questions correctly and three 500 points questions incorrectly. What is his score at the end of round 3?
A) −2000
B) −500
C) 2000***
D) 3500
The answer is C because -1500+5000-1500 = 5000-3000=2000
To find David's score at the end of round 3, we need to calculate the total points gained and lost during the round and then subtract or add that to his initial score.
David answered five 1000 point questions correctly. This means he gained 5 * 1000 = 5000 points.
He also answered three 500 point questions incorrectly. This means he lost 3 * 500 = 1500 points.
To calculate his total score at the end of round 3, we can add the points gained and subtract the points lost from his initial score of -1500.
Initial score: -1500
Points gained: 5000
Points lost: 1500
Total score = Initial score + Points gained - Points lost
Total score = -1500 + 5000 - 1500
Total score = 2000
Therefore, his score at the end of round 3 is 2000 points.
The correct answer is C) 2000.
-1500 + 5000 - 1500
= 5000-3000
= 2000 so yes C