*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. (x=1 is the day tickets go on sale).

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

a. Does the graph of this equation open up or down?

Question

*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. (x=1 is the day tickets go on sale).

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

a. Does the graph of this equation open up or down?

anonymous · Answer

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.)

anonymous · Answer

a) it "opens" down (negative quadratic)
b) ticket sales decrease as time passes
c) quadratic equation...
x = 60.9 or x = -ve number can't have negative days so sales stop on day 60

anonymous · Answer

crazyaustrian has a good answer. I just wanted to post a link that may help in plotting: http://www.wolframalpha.com/input/?i=plot+-0.2x^2+%2B+12x+%2B+11 This is the graph of your question, but as I said, crazyaustrian has the answers =)