Let x be the number of players, so we can write:
[tex]y=24.75x+856.50[/tex]
where y represents the total cost. Since the team raised $1128.75 to go to a tournament, we have
[tex]1128.75=24.75x+856.50[/tex]
Then, by subtracting 856.50 to both sides, we have
[tex]24.75x=272.25[/tex]
Then, by dividing both sides by 24.75, we obtain
[tex]x=\frac{272.25}{24.75}=11[/tex]
Then, by rounding up to the nearest whole number, there must be 81 players.
In summary, the answers are:
[tex]\begin{gathered} Equation:\text{ y=24.75x+856.50} \\ Answer:\text{ x=11} \end{gathered}[/tex]