1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes is a function of the number of people, n, in attendance. Analysis of recent price and attendance data suggests that for a weekday matinee showing, if the price of a ticket is set at p dollars, then the number of people in attendance is given by n = 240 – 12p. (a) At what price will no one attend the showing? (b) How many people will attend if prices are set at the regular price of $12? What income will the theater earn at this price? (c) Write an equation that describes the income, I, that the theater will earn in terms of the ticket price, р.

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