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PSAT/NMSQT
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Break-even Analysis for Theater Revenue

Hard Heart Of Algebra Linear Equations And Inequalities

A theater company is producing a play and has a budget for ticket sales. The company's revenue from ticket sales can be modeled by the linear equation:

$$R = 25x - 200$$

where:

  • R is the total revenue in dollars, and
  • x is the number of tickets sold.

To break even, the company needs to generate at least $0 in revenue. Determine the number of tickets that must be sold to break even, and report your answer in the grid-in format.

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