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

Question 326590: 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).
Tickets=02.x^2+12+11
a. Does the graph of this 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 sold on the day when the peak or low occurs?

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 ? 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?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Your function has a positive lead coefficient, hence the parabola opens upward. This makes no sense in terms of the story. When you sell tickets to something like this you start slow, peak somewhere in the middle, and then go back down to zero on the day of the performance -- just exactly the opposite picture that your function paints. A parabola that opens upward increases without bound as the independent variable increases without bound -- that would imply that if you sell tickets long enough, you can sell more tickets than the population of the planet, and that the number of tickets sold will continue to increase long after the show has closed. Furthermore, you have a function with an

term and two constant terms. I think you left out an

. Repost this with the correct function and perhaps someone can help you.

John

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