Question

In basketball you score 2 points for a field goal and 1 point for a free throw. Suppose that you have scored more than 5 points in every game this season and you have a season high number of field goals and free throws of at most 10 in one game. Write the system of two inequalities that represents the number of field goals and free throws that could have been made in one game.

Answer 1

• See below

Explanation:

• Field goals = g
• Free throws = t

The inequalities:

• 2*g + 1*t > 5 ⇒ 2g + t > 5 score in every game

and

• g + t ≤ 10 number of field goals and free throws in one game