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?
2x + y ≤ 15
x + y ≥ 3

write one possible solution to the problem in sentence form

Answer 1

Answer:

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.

Answer 2

2x+y>3 describes the low end, presuming that you have defined to mean the number of field goals and to mean the number of free throws. yet your best game was 15, so the values must also satisfy 2x+y