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A theater charges $ {\$8} $ per ticket and has a fixed operating cost of $ {\$800} $ per show. If $ x= $ number of tickets sold, which equation models the theater's profit $ P $ for a show?

A

$ P=8x+800 $

B

$ P=8x-800 $

C

$ P=\cfrac { x-800 }{ 8 } $

D

$ P=\cfrac { x }{ 8 } -800 $

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