Question

Ony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the All-Tournament Team. So far, in all of the tournaments he's been to, all of the players who made the All-Tournament Team scored an average between 27 and 32 points in the tournaments. Determine the range of points Tony should score in his next game to make the All-Tournament Team.

Answer 1

34 and 49

Explanation:

Calculation to Determine the range of points that should be score in his next game

Based on the information given we were told that he scored 22 and 25 points in the first two games which means that his current scores will be : 22 and 25 point

Secondly we were told that Tony All-Tournament Team as well scored an average between 27 and 32 points in the tournaments based on this we are going to calculate Tony's next score in the next game.

Hence,

Let x be Tony's next score in the next game.

Now let calculate the lower required score of 27 points

(x + 22 + 25)/(25-22) = 27

(x + 22 + 25)/3 = 27

(X+47)=3*27

Collect like terms

x = 81 - 47

x= 34

Let calculate the upper required score of 32 points

(x + 22 + 25)/(25-22) = 32

(x + 22 + 25)/3 = 32

(X+47)=3*32

Collect like terms

x = 96 - 47

x= 49

Therefore the range of points that should be score in his next game will be 34 and 49