Question 145536
You provide the manager with a Quadratic equation that models the expected ticket sales for each day x.(x=1 is the day tickets go on sale). 
Tickets=  -0.2x^2 + 12x + 11 
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Graph:
{{{graph(400,300,-10,70,-10,225,-0.2x^2+12x+11)}}}
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a.)Describe what happens to ticket sales as time passes?
They go up then down
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b.)Use the quadratic equation to determine the last day that tickets will be sold.(Note:write your answer in terms of number of days afterticket sales begin.)
Solve: -0.2x^2 + 12x + 11 = 0 for x to get x = 59
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c.)Will tickets peak or be at low during the middle of the sale? How do you know?
peak; look at the graph
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d.)After how many days will the peak or low occur?
30
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e.)How many tickets will be sold on the day when the peak or low occurs?
Find f(30) = 191
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f.)What is the point of the vertex? How does this number relate to your answersin parts d and f?
See the graph and your answers to d and f
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g.)How many solutions are there to the equation -.2x^2 + 12x + 11? How do you know?
two; it is a quadratic function
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h.)What do the solutions represent?
days when the number of tickets sold is zero
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 Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Yes, when x or y is negative.
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Cheers,
Stan H.