SOLUTION: Jeremy is close to breaking his high school record for field-goal points in a basketball game. He needs 17 points to tie the record and 18 points to break the record. A field goal

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Question 316199: Jeremy is close to breaking his high school record for field-goal points in a basketball game. He needs 17 points to tie the record and 18 points to break the record. A field goal can be worth either 2 or 3 points. Which inequality shows that he failed to tie or break the record?
For the situation above, which inequality shows that Jeremy broke the record?
I really seem to be having trouble with this problem any help would be much appreciated.
Answer by moshiz08(60) (Show Source):
You can put this solution on YOUR website!
Let be the number of 2-pointers and let be the number of 3-pointers.
The number of points he gets is 2*x + 3*y.
For example, if you make 4 three pointers and 5 two pointers, you get a total of 4*3 =12 points from threes, and 5*2 = 10 points from twos, for a total of 22 points.
Now, his points 2x+3y can be greater than, less than, or equal the record of 17.
If he fails to tie or break the record, that means he must have scored less than 17.
Thus, .