Answer:
![25(13)+13m\leq 546](https://img.qammunity.org/2021/formulas/mathematics/high-school/6tt7pfdmshfy529hgucvkcg57jhx03xz37.png)
A
Explanation:
Each team can only consists of thirteen players. Therefore, by letting w represent the number of women's teams and m the number of men's teams, the total number of players is represented by the equation:
![13w+13m](https://img.qammunity.org/2021/formulas/mathematics/high-school/tnocsmyd1lnf6i6lh6zlynueo55x7g7cmt.png)
The total number of players cannot surpass 546. In other words, it must be less than or equal to. Therefore:
![13w+13m\leq 546](https://img.qammunity.org/2021/formulas/mathematics/high-school/f6dihczljofn1w595mtqlbvjyw2w758rfb.png)
We are given that that 25 women's teams have already signed up. To find out the possible number of men's teams that can sign up, we can substitute 25 for w and then solve for m.
Therefore:
![25(13)+13m\leq 546](https://img.qammunity.org/2021/formulas/mathematics/high-school/6tt7pfdmshfy529hgucvkcg57jhx03xz37.png)
In conclusion, the answer is A.