Question

Please help.

36.In football, a touchdown is awarded 6 points and the team can then try for

a point after a touchdown.


a. Write an expression that describes the number of points scored on

touchdowns T and points after touchdowns p by one team in a game.


b. If a team wins a football game 27-0, write an equation to represent the possible

number of touchdowns and points after touchdowns by the winning team.


c. If a team wins a football game 21-7, how many possible number of touchdowns

and points after touchdowns were scored during the game by both teams?

Answer 1

6T + p

6T + p = 27

T = 4 ; p = 4

Explanation:

Given the following :

Points awarded for touchdown = 6 and then try for a point 'p' after touchdown

Hence, number of points scored on

touchdowns T and points after touchdowns p by one team in a game.

6points * number of touch downs (T) + point 'p' after touchdown

= 6T + p

B) If a team wins a football game 27-0,

Possible number of touch downs and points after touchdown :

Then 6T + p = 27

27 / 6 = 4 remainder 3

Hence, possible number of touch downs = 4

Number of points p = 27 - (6*4) = 27 - 24 = 3

C.) if winning = 21-7

Team A = 21

Hence, T = 21/6 = 3 remainder 3

T = 3 ; p = 3

Team B = 7

T = 7/6 = 1 remainder 3

T = 1 ; p = 1

Hence,

Total for both teams :

T = (1 + 3) = 4

p = (3 + 1) = 4