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
Algebra ->
Quadratic Equations and Parabolas
-> 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
Log On
Question 593803: 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).
Does the graph of this equation open up or down? How did you determine this?
Your Solution - Show your Work Below
Describe what happens to the tickets sales as time passes.
Your Solution - Show your Work Below
Use the quadratic formula to determine the last day that tickets will be sold.
Rachel’s Tips: The last day is when tickets = 0. Solve for x. Write your answer in terms of the number of days after ticket sales begin (use a whole number).
Your Solution – Show your Work Below
Will tickets peak or be at a low during the middle of the sale? How do you know?
Rachel’s Tips: In other words, will there be a max (peak) or min (low) in this situation?
Your Solution - Show your Work Below
After how many days will the peak or low occur?
Rachel’s Tips: Since # days = x in our situation, find the x-value of the max/min (vertex).
Your Solution - Show your Work Below
How many tickets will be sold on the day when the peak or low occurs?
Rachel’s Tips: Plug 1e into equation from 1a.
Your Solution – Show your Work Below
How many real-number solutions are there to the equation ? How do you know?
Your Solution – Show your Work Below
Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Your Solution – Show your Work Below
Parker’s Skateboard Shop has determined that when x skateboards are built, the average cost C per skateboard is given by . How many skateboards should the shop build in order to minimize the average cost per skateboard?
Rachel’s Tips: Since # skateboards = x in our situation, find the x-value of the minimum (vertex).
Your Solution – Show your Work Below
What is the minimum average cost?
Rachel’s Tips: Plug 2a into cost equation.
Your Solution – Show your Work Below
