Answer:
[tex]P(x)=12.50x-150.[/tex]
Step-by-step explanation:
Let x be the number of tickets sold. If a theater group charges $12.50 per ticket for its opening play of the season, then x tickets cost $12.50x. Production costs for the play are $150. Then the profit the theater group earns from selling x tickets is
[tex]P(x)=12.50x-150.[/tex]