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Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that have signed up for a new league. What is a possible scenario that would be modeled by this equation? Consider how many teams in the league and the number of players on each team this equation could describe

Respuesta :

We want to see what can be modeled with the given equation.

We will see that this equation can represent the number of teams that play on that league.

The given equation is:

[tex]\frac{x}{5} - 2 = 11[/tex]

Where x represents the number of basketball players that have signed up for a new league.

We can rewrite the equation as:

[tex]\frac{x}{5} = 11 + 2 = 13\\[/tex]

Taking in mind that in each team we have 5 players (ignoring the substitutes)

x/5 would represent the total number of teams that can be made with the x players.

Then the equation:

[tex]\frac{x}{5} - 2 = 11[/tex]

Can represent the total number of teams that can be made, because of the "-2" term, we can assume that 2 of these teams were disqualified or something like that, so there are a total of 11 teams instead of 13.

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