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?

2x + y ≤ 15
x + y ≥ 3

write one possible solution to the problem in sentence form

There are 2 points for a field goal, and 1 point for a free throw.

 x=Points scored for a field goal

 y=Points scored for a free throw

It is also given 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.

 2x+y≤15

x+y≥3

Plotting the inequality on two dimensional xy plane

The solution set through graph is attached below.

One possible solution is

x=5 field goals

y=5 free throw

⇒In a game I have made 4 field goals and 3 free throws. So total number of points scored in game will be 4×2+3=11 points.

sorry i need the points

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a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.