SOLUTION: I don't understand how to get 2 formulas. My HW say to write a system of two inequalities that describe the situation and I am completely confused! Here is the question: In bask

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Question 256155: I don't understand how to get 2 formulas. My HW say to write a system of two inequalities that describe the situation and I am completely confused! Here is the question:
In 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 high season score of 15 points in one game. How many field goals and free throws could you have made in any one game?
I think I have one (2x+1y {greater than or equal to} 3) but i don't know. Thanx!
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Yes, describes the low end, presuming that you have defined to mean the number of field goals and to mean the number of free throws. But your best game was 15, so the values of and must also satisfy

In addition, you must also make the restriction that your solution set consists of . After all, wouldn't make much sense as a number of basketball field goals, now would it?


John
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
I don't understand how to get 2 formulas. My HW say to write a system of two inequalities that describe the situation and I am completely confused! Here is the question:
In 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 high season score of 15 points in one game. How many field goals and free throws could you have made in any one game? 
Let x = the number of field goals in a game
Let y = the number of free throws

Then the number of points = 2x + 1y

You have one inequality correct



The other one is 



Edwin
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