Math 117 Apendix F

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Associate Level 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 Save As from the File menu. Click the white space 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. ([pic] is the day tickets go on sale). [pic][pic] a. Does the graph of this equation open up or down? How did you determine this? Downward negative coefficient makes it go down. b. Describe what happens to the tickets sales as time passes. Subing x for 1 = ticket sales are 22.8 or 23 on opening day. Ticket sales will rise until the peak is hit and then will go down until it hits 0 c. Use the quadratic equation to determine the last day that tickets will be sold. Day 60 Note. Write your answer in terms of the number of days after ticket sales begin. d. Will tickets peak or be at a low during the middle of the sale? How do you know? Will peak, the graph moves downward meaning that there is a
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