Math

QuestionA football team lost 5 yards on 3 plays. Use a number line to show the total change in field position.

Studdy Solution

STEP 1

Assumptions1. The football team lost5 yards on each play. . There were3 plays.
3. We need to find the total change in field position after the3 plays.

STEP 2

First, we need to understand that losing yards in football means moving backwards. So, if the team lost5 yards on each play, it means they moved5 yards backwards each time.

STEP 3

To find the total change in field position, we need to add up the yardage lost on each play. Since the team lost5 yards on each of3 plays, we can represent this as a sum.
Totalchange=5yards+5yards+5yardsTotal\, change = -5\, yards + -5\, yards + -5\, yards

STEP 4

Now, we can simplify this sum to find the total change in field position.
Totalchange=yards+yards+yards=15yardsTotal\, change = -\, yards + -\, yards + -\, yards = -15\, yardsThe negative sign indicates that the team moved backwards on the field.

STEP 5

To represent this on a number line, we can start at0 and move5 units to the left (to represent moving backwards on the field) for each play. After3 plays, we would end up15 units to the left of0, which corresponds to -15 on the number line.
The football team's change in field position after the3 plays is -15 yards.

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