Posted by **Kay** on Monday, July 20, 2009 at 2:15pm.

suppose you are an event corrdinator 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 tickcets sell out. You provided the manger with a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale.)

tickets=-0.2x^2+12x+11

a. Does the graph of thies equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?

c. Use the quadratic equation to determine the last day that tickets will be sold. ( 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?

e. After how many days will the peak or low occur?

f. how many tickets will be sole on the day when the peak or low occures?

g. What is the point of the vertex? how does this number relate to your answers in parts e and f?

h. How many solutions are there to the equation -.02x^2+12x+11=0? how do you know?

i. what do the solutions represent? is there a solution that does not make sense? if so, in what ways does the solution not make sense?

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