SOLUTION: 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

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Question 475787: 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=-0.26x squared+13x=35
1. Does the graph of this equation open up or down? How did you determine this?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

Using the vertex form of a parabola,  where(h,k) is the vertex

tickets = -.26x^2 + 13x + 35

tickets = -.26[x^2 - 50x]+ 35  |a = -.26 < 0 Parabola opens downward

tickets = -.26[x - 25)^2 - 625]+ 35

tickets = -.26(x - 25)^2 + 162.50 + 35

tickets = -.26(x - 25)^2 + 197.50  

Vertex is a maximum point. Ticket sales peak on the 25th day

 

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