Question

In a basketball game, the home team scores (2m+39) points and the away team scores (3m+40) points, where m is the number of minutes since halftime. Who wins the game. What is the difference in the scores m minutes after halftime?​

Answer 1

Answer: The away team will win by m + 1 points

Step-by-step explanation: Minutes can't be negative, so m must either always be positive, or be 0 for a minute then positive for the rest of the game. Therefore, for any positive value m, 3m + 40 will always be greater than 2m + 39. So, the away team will win. To get the difference in points, subtract the two expressions to get m + 1