SOLUTION: In a basketball you score 2 points for a field goal and 1 point for a free throw . Suppose that you have scored at least 3 points in every game this season, and have a season high

Question 1188544: In a basketball you score 2 points for a field goal and 1 point for a free throw
. Suppose that you have scored at least 3 points in every game this season, and have a season high score of at most 15 points in one game. How many field goals and free throw could you have made in any game
(Let x be the number of field goals and y be the number of free throws)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Possible to have had 0 FG. Maximum possible is 7.
Possible to have had at least 1 FT in a game and as many as 15.
So range of x is [0, 7] and y is [1, 15]
-
FG----FT
0-----3, 4, 5,6,7,8,9,10,11.12.13.14.15
1-----1,2,3,4,5,6,7,8,9,10,11,12,13
2-----0,1,2,3,4,5,6,7,8,9,10,11
3-----0,1,2,3,4,5,6,7,8,9
4-----0,1,2,3,4,5,6,7
5-----0,1,2,3,4,5
6-----0,1,2,3
7-----0,1
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