Question

In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)​

Answer 1

3x + 7y > 21

3x + 7y > 21

where:

x = number of field goals needed to win

y = number of touchdowns (plus extra point) needed to win

Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.

Answer 2

3x + 7y > 21

Explanation:

3x + 7y > 21

where:

x = number of field goals needed to win

y = number of touchdowns (plus extra point) needed to win

Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.