# Question: a theater manager graphed weekly profits as a function of...

###### Question details

A theater manager graphed weekly profits as a function of the number of patrons and found that the relationship was linear. One week profit was $10,512 when 1318 patrons attended. Another week 1498 patrons produced a profit of $12,132.

(a) Find a formula for weekly profit, y, as a function of the
number of patrons, x. Do not enter any commas in your
formula.

y=

(b) How much will profits increase if 1 more patron goes to the
theater?

$ (no comma in your answer)

(c) What number of patrons is closest to the break-even point
(that is, the number of patrons for which there is as close to zero
profit as possible)?

number = patrons (no comma in your answer)

d) Find a formula for the number of patrons as a function of the
profit. Do not enter any commas in your formula.

x=

f) If the weekly profit was $15,822, how many patrons attended the theater? number = patrons (no comma in your answer)