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Axia College Material
Appendix F
Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost
endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to
these events are not available long and can often be modeled by quadratic equations.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations.
First, save this file to your hard drive by selecting
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from the File
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below each question to maintain proper formatting.
1.
Suppose you are an event coordinator for a large performance theater. One of the hottest new
Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply
information about projected ticket sales to the box office manager. The box office manager uses this
information to anticipate staffing needs until the tickets sell out. You provide the manager with a
quadratic equation that models the expected number of ticket sales for each day
x
. ( is the day tickets
go on sale).
a. Does the graph of this equation open up or down? How did you determine this?
Since “a” or the coefficient of the x squared term is negative (.2), this graph will open
downwards.
b. Describe what happens to the tickets sales as time passes.
A regular parabola which opens down always increases in both the x and y values as
time passes, then at one point the graph reaches a point at the largest y value, and
then as time passes on the x value increases more but the y values start to decrease.
Same occurs here, so the when the days go on the ticket sales increase, and at one
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 Spring '09
 mcmillian
 Math

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