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. %3D
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. %3D
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
![(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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf32fb61-51c8-4e43-aab8-979b670ff6f9%2Fa5c83390-6162-42e2-8688-b245213ddf64%2F3u7no8_processed.png&w=3840&q=75)
Transcribed Image Text:(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?
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf32fb61-51c8-4e43-aab8-979b670ff6f9%2Fa5c83390-6162-42e2-8688-b245213ddf64%2Fb4lu0pw_processed.png&w=3840&q=75)
Transcribed Image Text: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.
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