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If a football team lost 5 yards on each of 3 plays how could you use a number line to find the teams change in field position after the three plays?
Wiki User
∙ 6y ago
There are two ways to consider this:
You can either consider the position of the ball on the field as the distance from the offensive team's goal line (making the objective to get to the opponent's goal line of reaching 100), or as the distance from the opponent's goal line (making the objective to get to the opponent's goal line of reaching 0).
In either case, every advance of the ball adds to the distance, going in the positive direction, and every loss subtracts from the distance, going in the negative distance.
The loss of 5 yards on each play would be represented as 3 moves of negative 5, ie 3 moves of 5 to the left on a horizontal number line.
The difference comes in where the goal lines are situated on the number line:
- In the first case (objective to reach 100):
The value of the position is the distance from your goal line; by subtracting this from 100 you can work out how far is required to go.
- In the second case (objective to reach 0)
The absolute value (that is the value ignoring the negative sign) of the position is the distance remaining to the opponent's goal line.
The same can be considered for the distance to the next first down; the starting and objective values become 0 and 10 (in the first case), or -10 and 0 (in the second case).
Wiki User
∙ 6y ago
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