18. MOVIE FESTIVAL From past experience organizers for a local movie festival know that if they price tickets at $8.75 they will sell about 165 tickets. For every $0.25 drop in ticket price the number attending a show increases by 10. a. Write an equation for the number attending a show at the movie festival in terms of the ticket price. b. If they price the tickets at $6.90 how many would they expect to attend? c. If the tickets were priced $6.90, how much would they gross from all tickets? Is this more or less than if the tickets were priced $8.75? d. The theatre can hold 275 people. What price ticket would sell out the theatre?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 57PFA
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18. MOVIE FESTIVAL From past experience organizers for a local movie festival know that if
they price tickets at $8.75 they will sell about 165 tickets. For every $0.25 drop in ticket
price the number attending a show increases by 10.
a. Write an equation for the number attending a show at the movie festival in terms of the
ticket price.
b. If they price the tickets at $6.90 how many would they expect to attend?
c. If the tickets were priced $6.90, how much would they gross from all tickets? Is this
more or less than if the tickets were priced $8.75?
d. The theatre can hold 275 people. What price ticket would sell out the theatre?
Transcribed Image Text:18. MOVIE FESTIVAL From past experience organizers for a local movie festival know that if they price tickets at $8.75 they will sell about 165 tickets. For every $0.25 drop in ticket price the number attending a show increases by 10. a. Write an equation for the number attending a show at the movie festival in terms of the ticket price. b. If they price the tickets at $6.90 how many would they expect to attend? c. If the tickets were priced $6.90, how much would they gross from all tickets? Is this more or less than if the tickets were priced $8.75? d. The theatre can hold 275 people. What price ticket would sell out the theatre?
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