Answer:
Tina could make are 10 Possible total points.
They number of possible total points are; 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27.
Step-by-step explanation:
This is a zero-sum sort of deal. If tina makes 9 baskets, they can be all 2 points or all 3 points.
Let's make some number of 2 points "n". Then, the number of 3 points has to be 9 - n. The logic is exactly the same if we considered the number of 3 points made to be "n".
Thus, the maximum of this relationship is when n = 0.
Hence, 9 baskets gives the following possible permutations:
1) 0 number of 2 points and 9 number of 3 points = 27 points
2) 1 number of 2 points and 8 number of 3 points = 26 points
3) 2 number of 2 points and 7 number of 3 points = 25 points
4) 3 number of 2 points and 6 number of 3 points = 24 points
5) 4 number of 2 points and 5 number of 3 points = 23 points
6) 5 number of 2 points and 4 number of 3 points = 22 points
7) 6 number of 2 points and 3 number of 3 points = 21 points
8) 7 number of 2 points and 2 number of 3 points = 20 points
9) 8 number of 2 points and 1 number of 3 points = 19 points
10) 9 number of 2 points and 0 number of 3 points = 18 points
So the number of possible points Tina could make are; 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27.
