SOLUTION: Donella has scored 94 points in the last 6 basketball games. If she earns 2 more points per basket, how many baskets must she shoot in the next 6 games for her average points per g

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Question 1172929: Donella has scored 94 points in the last 6 basketball games. If she earns 2 more points per basket, how many baskets must she shoot in the next 6 games for her average points per game to be greater than 16?

Found 2 solutions by ewatrrr, greenestamps:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Previously Posted:
Donella has scored 94 points in the last 6 basketball games
Let n represent the number of baskets she must shoot in the next 6 games for her average points per game to be greater than 16?

94 + 2n > 192
2n > 98
n > 49 She must shoot at least 50 baskets in next 6 games for a greater than 16 pt average
CHECKING our answer***:
(94 + 98)/12 = 16 pt average
Wish You the Best in your Studies.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


94 points in the last 6 games leaves her one 2-point basket short of an average of 16 points per game.

To attain an average of 16 points per game after 6 more games, she needs to....
(1) score 8 2-point baskets per game in each of those next 6 games (48 more 2-point baskets); and
(2) score one more 2-point basket to make up for what she is short over the previous 6 games.

So over the next 6 games she needs to score 48+1 = 49 more 2-point baskets to attain an average of EXACTLY 6 points per game.

So to attain an average of MORE THAN 16 points per game, she needs to score at least 50 more 2-points baskets in the next 6 games.


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