Question

a certain basketball player averaged 39 points per game over the course of 6 games. he wants his average to be at least 40 points after his next game. what is the least number of points he must score at his next game to reach his goal? responses 40 40 42 42 44 44 46 46 48

Answer 1

Basketball player will need to score 46 in the next game to obtain an average of 40 after his next game.

Let,

The score in the next game = x

The total number of games = 6+1 = 7

The average score after 7 games = 40

The average score after 6 games = 39

Find the total score of 6 games:

The average of a data can be calculated using:

Average = sum of the data / total number of the data

Average = (sum of score of 6 games)/6

Substitute the value for average=39:

39=(sum of score of 6 games)/6

234=sum of score of 6 games (multiply 6 on both sides of the equation)

The sum of the scores of 6 games is 234.

Average = sum of the data / total number of the data

Average = (sum of score of 7 games)/7

Average = (sum of score of 6 games+x)/7

Substitute the value for average=40 and sum of scores of 6 games=234:

40=(234+x)/7

280=234+x (multiply 7 on both sides)

46=x (subtract 234 on both sides of the equation)

Therefore, the basketball player will need to score 46 in the next game to obtain an average of 40.

Learn more about mean/average of a data at:

https://brainly.com/question/11015069

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