Which context describes a difference of rational numbers?
A. A football player gains yards on a play.
B. The team's score increased when scoring.
C. A football player loses yards on a play.
D. The team's score did not change during the game.
C. A football player loses yards on a play.
C. A football player loses yards on a play.
To determine which context describes a difference of rational numbers, we need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero.
Looking at the given options:
A. A football player gains yards on a play: This does not necessarily represent a difference of rational numbers, as the gain in yards could be any real number.
B. The team's score increased when scoring: This option does not directly reflect a difference of rational numbers. It implies that the team's score increased, but we do not have specific numeric values to determine if it involves rational numbers.
C. A football player loses yards on a play: This context indicates a decrease in yards, which could be considered a difference between the initial and final yardages. Since yardages can be expressed as rational numbers, this option represents a difference of rational numbers.
D. The team's score did not change during the game: This option does not involve any change in the score, so it does not describe a difference of rational numbers.
Therefore, the context that describes a difference of rational numbers is C. A football player loses yards on a play.