Given this information, how do you solve for questions a through d ?

Posted on 2015-09-03 06:00:00 in Math by ANTHONY

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, n, 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, p.
(d) At what price should tickets be sold to earn the greatest ticket income from the matinee show? What income will the theater earn at this price?

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