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Question 544065: Axia College Material
Appendix F
Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. 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).
a. Does the graph of this equation open up or down? How did you determine this?
The graph will open down because the coefficient of x^2 is negative.
b. Describe what happens to the tickets sales as time passes.
Over time the ticket sales will increase reach a peak then decrease
c. Use the quadratic equation to determine the last day that tickets will be sold.
Day 25
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?
The ticket sales will peak during the middle of the sale because the graph opens down looking like an upside down u.
e. After how many days will the peak or low occur? After about 12 days the ticket sales will peak
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?
Click here to see answer by stanbon(57246) |
Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y
Click here to see answer by saifoo.khan(162)  |
Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y
Click here to see answer by rapaljer(4667)  |
Question 544847: The problem I have is 4x – 3 = x – y. I need to graph this but I don't understand how to get there, teacher didn't cover an equation like this. I have tried subtracting x from both sides leaving 3x - 3 = -y but I don't see how you would get graph points from that. Could you please explain how I can solve this problem? I don't want just the answer, i'd like to know how to solve for future reference.
Again, graph 4x-3=x-y
Click here to see answer by josmiceli(9661)  |
Question 545090: Are the following lines parallel, perpendicular, or neither:
a.) 9x - 12y = 17 and 3x - 4y = 17
b.) y = -3 and x = -3
c.) y = 3x + 4 and y = -3x - 2
How do I solve these. Please explain and show work so I can follow along/understand what I am suppose to be doing.
Click here to see answer by cira554(7)  |
Question 545243: I want to find the slope, y-intercept and angle of this equation:
14x -y -sqrt(2) = 0
I know the answer but I want the method please
Anwer: Slope = 14, y-intercept = sqrt(2) and the degrees = about 85.9
Thank you
Click here to see answer by Alan3354(30983)  |
Question 545479: the pitch, or frequency, of a vibrating string varies directly with the square root of tension. if a string vibrates at a frequency of 144 hertz due to a tension of 2 pounds, find the frequency when the tension is 18 pounds.
Click here to see answer by Alan3354(30983)  |
Question 545941: without graphing answer the following questions about the system, x-y=7,
9x=9y+4.
Does this system have a solution?
yes or no?
Is the system inconsistent, are the equations dependent, or neither?
What does this graph look like? Intersecting lines? One line? Or parallel lines?
Thank you for your help
Click here to see answer by lmeeks54(105)  |
Question 545839: No one has been able to solve this for me
Explain how exponnential functions are relevant and applicable to real life
situations.
Think of a real life situation that can be represented by an exponential
function.
Write a function to represent the situation.
Label all vaiables.
Explain how you wrote the function.
Graph your equation.
pleasee help
Click here to see answer by ankor@dixie-net.com(15638)  |
Question 546651: Demonstrate the triangle with vertices are (4,-1), (-2,3) and (-6,-3) is a right triangle. (Prove that the Pythagorean theorem is verified)
The answer is supposed to be: Sides measure respectively sqrt(52), sqrt(52) and sqrt(104)
Help me please. I don't know how todo this.
Thank you
Click here to see answer by 11045troberts(1)  |
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