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Mice21 [21]
3 years ago
8

Can someone please answer these two Algebra math questions for me thanks!

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
<h3>Explanation:</h3>

Given:

  • total score is 63
  • field goals score 3
  • touchdowns score 7

Find:

  • a linear equation representing the relationships given
  • a graph of that equation
  • combinations of field goals and touchdowns that give the score

Solution:

1. see above for what is given

2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.

The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.

Likewise, the total score from y touchdowns can be written as the term 7y.

__

The equation of interest is then ...

  3x + 7y = 63

The graph of it, and its integer solutions, is attached.

Possible combinations of (field goals, touchdowns) are ...

  (0, 9), (7, 6), (14, 3), (21, 0)

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