Question

A basketball player averages 21 points per game for the first 8 games of the season. if he is held scoreless in the next two games, how many average points per game must he score in his final 6 games in order to complete the season with an overall average of 21 points per game?

Answer 1

The basketball player needs to average 28 points per game in the final 6 games to achieve an overall season average of 21 points per game.

Step-by-step explanation:

The student is asking about calculating what average points per game a basketball player must score in the remaining games to maintain an overall season average, after scoring differently in previous games.

To solve the problem, first calculate the total points the player needs for the season to average 21 points per game over 16 games (8 + 2 + 6 games). This is 21 points/game × 16 games = 336 points. The player already scored 21 points/game × 8 games = 168 points and was held scoreless for 2 games, adding 0 points. Subtract the points already scored from the total needed for the season to find how many points are needed in the last 6 games: 336 points - 168 points = 168 points.

Divide the remaining points by the number of games left to find the average per game: 168 points ÷ 6 games = 28 points per game. Thus, the player must average 28 points per game in their final 6 games to finish the season with an overall average of 21 points per game.

Answer 2

Suppose the average the average points that the player must have in the six remaining games in order to finish with 24 game be x.
The total number of games in a season is :
(8+2+6)=14
total points for the 10 games will be:
a/10=21
a=210
thus the total score for the remaining 6 games should be:
(x+210)/14=21
x=84
This implies that the average score per game should be 84/6=14