Ben wants to have a birthday party at the bowling alley with a few friends but he can't spend no more than $80 the bowling alley charges a flat fee of $45 for a private party and 550 per person for shoe rentals and unlimited bones how many people can been paid for including himself while i was staying within the limitations of his budget be sure to include and inequalities that you use to fall this question showing explain each step

The trick to solving this problem is to realize that the independent variable is x, which represents the number of people who can attend the party without the total party cost exceeding $80.

This is the form of the inequality:

(total cost) [less than or equal to] $80

(rent) + (cost per guest)(number of guests) [less than or equal to] $80

 $45  + $5.50 x                                            [less than or equal to] $80

Simplify.  To do this, subtract $45 from both sides of this inequality.

Divide both sides of the resulting inequality by $5.50.

What is the restriction on x?

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answerthe vertex form

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