A football team scored 12 times in a game for a total of 72 points. Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points. If
t is the number of touchdowns and fis the number of field goals, which system of equations can be used to determine the number of touchdowns and field
goals made in the football game?
t+= 12
31 + 71 72
t+f12
72. 31 = 72
+72
7+31 12
t+= 12
10(t+1) = 72

Respuesta :

Answer:

t+f=12

7t+3f=72

Step-by-step explanation:

7pts for t + 3pts for f =72 pts

7t+3f+72

This question is based on the system of equations. Therefore, the t + f = 12 and  7t + 3f =72 are  system of equations can be used to determine the number of touchdowns and field  goals made in the football game.

Given:

A football team scored 12 times in a game for a total of 72 points.  Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points.

We need to choose the system of equations from the given options can be used to determine the number of touchdowns and field  goals made in the football game.

According to the question,

Let  t is the number of touchdowns and f is the number of field goals.

It is given that, a football team scored 12 times in a game.

In mathematically expressed as,

⇒ t + f = 12

Each touchdown with the extra point is worth 7 points and field goal is worth 3 points.

In mathematically expressed as,

⇒ 7t + 3f =72

Therefore, the t + f = 12 and  7t + 3f =72 are  system of equations can be used to determine the number of touchdowns and field  goals made in the football game.

For more details, prefer this link:

https://brainly.com/question/24065247

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