A theater manager graphed weekly profits as a function of

Chapter , Problem 1.5.28

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A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week the profit was $11,328 when 1324 patrons attended. Another week 1529 patrons produced a profit of $13,275.50. (a) Find a formula for weekly profit, , as a function of the number of patrons, . (b) Interpret the slope and the -intercept. (c) What is the break-even point (the number of patrons for which there is zero profit)? (d) Find a formula for the number of patrons as a function of profit. (e) If the weekly profit was $17,759.50, how many patrons attended the theater?

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