
Concept explainers
a.
To find : An expression that describes the number of points scored on touchdowns T and points after touchdowns p by one team in a game.
a.

Answer to Problem 36PPS
An expression is given by:
Explanation of Solution
Given information : 1 Touchdown is awarded 6 points
In the expression, touchdown T is multiplied with 6 which give the points scored by the touchdowns. By using this expression, one can calculate the number of points scored after touchdown. T here refers to the number of touchdowns.
For example, if the number of touchdowns =4
Then, total points scored,
Therefore, the expression is given by:
b.
To find : An equation to represent the possible number of touchdowns and points after touchdowns by the winning team.
b.

Answer to Problem 36PPS
Explanation of Solution
Given information : A team wins a football game by 27-0.
Calculation :
In this, total numbers of touchdowns are calculated from the given score.
Thus, by putting the value of x (total score) in the expression, total number of touchdowns is obtained that is equal to 4.
Hence,
In the expression, total number of touchdowns is obtained by dividing the total score obtained by 6 as 1 touchdown is equal to 6 points.
The equation to represent the possible number of touchdowns and points after touchdowns by the winning team.
c.
To calculate : Possible number of touchdowns and points after touchdowns by both teams after the game.
c.

Answer to Problem 36PPS
And,
And,
Explanation of Solution
Given information : Team score 21-7
Formula used :
possible number of touchdowns =
And points after touchdowns =
Where,
Calculation : For one team,
Thus, possible number of touchdowns
And points after 3 touchdowns
For another team,
Thus, possible number of touchdowns
And
In this, total number of touchdowns and points after touchdowns for two teams is calculated by putting the values in the formula.
Total number of touchdowns scored by 1 team is equal to 3 and the points scored after touchdown is 18. Remaining 3 points are scored by kicking.
Total number of touchdowns scored by another team is equal to 1 and the points scored after touchdown is 6. Remaining 1 point is scored by kicking
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