SOLUTION: Can someone please help me with the first five questions to ind of give me a start on how to dothis assignment....Pleas and thank you in advance.
Suppose you are managing sales
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-> SOLUTION: Can someone please help me with the first five questions to ind of give me a start on how to dothis assignment....Pleas and thank you in advance.
Suppose you are managing sales
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Question 632201: Can someone please help me with the first five questions to ind of give me a start on how to dothis assignment....Pleas and thank you in advance.
Suppose you are managing sales of tickets for a large concert venue. In order to anticipate staffing needs in the box office, you must gather information about projected ticket sales for an upcoming concert. The expected number of ticket sales for each day x is given by the following equation:
tickets=-5x^2+18x+9
PROBLEM SHOW YOUR SOLUTIONS HERE
1. Does the graph of this equation open up or down? How do you know?
2. Describe what happens to the ticket sales as time passes.
3. Use the quadratic formula 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.
4. Will ticket sales be at a peak or a low during the middle of the sale? How do you know?
5. After how many days will the peak or low (middle of the sale) occur?
6. How many tickets will be sold on the day when the peak or low (middle of the sale) occurs?
7. What is the point (ordered pair) of the vertex? How does this point relate to your answers to problems 5 and 6.
8. How many real solutions are there to the equation ? How do you know?
9. What do the solutions to the equation in #8 represent? Is there a solution that doesn’t make sense? If so, in what ways does the solution not make sense? Answer by solver91311(24713) (Show Source):
It opens down because the lead coefficient is negative.
Ticket sales start small, get larger, then get smaller
Set the quadratic equal to zero. Use the quadratic formula to solve it. The integer part of the largest root is the last day of ticket sales.
Divide the opposite of the coefficient on the first degree term by 2 times the lead coefficient to get the value of x where the peak occurs.
Evaluate the function at the value of x determined above to find the number of tickets sold at the peak.
The x-coordinate of the vertex is the day when the peak occurs. The y-coordinate of the vertex is the number of tickets sold that day.
There are two solutions to the equation. I know because the value of the function at the vertex is positive and the parabola opens downward, therefore the graph must cross the x-axis in two places. I also know that there are two solutions because the lead coefficient and the constant coefficient have opposite signs and the quadratic is not a perfect square.
The solutions represent the days when there will be zero ticket sales. The negative root makes no sense because you can't be selling tickets before you start selling tickets.
John
My calculator said it, I believe it, that settles it
