Question 313276
Tickets= -0.2x^2+14x+5(this is the governing equation that is referred to in part c below)
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Note: The graph is a parabola opening downward.
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a. Does the graph of this equation open up or down? How did you determine this? 
Down because the coefficient of x^2 is negative.
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b. Describe what happens to the tickets sales as time passes?
They go up then they go down.
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c. Solve the governing equation using the quadratic formula.
I'll leave that to you.
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d. Will tickets peak or be at a low during the middle of the sale? How do you know?
Peak
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e. After how many days will the peak or low occur? 
x = -b/2a gives you the number of days.
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f. How many tickets will be sold on the day when the peak or low occurs? 
f(-b/2a) gives you that number.
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g. What is the point of the vertex? How does this number relate to your answers in parts e and f? 
(-b/2a, f(-b/2a)
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h. How many solutions are there to the equation -0.2x^2+14x+5=0? How do you know?
Two ; it is a quadratic.
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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? 
The negative solution makes no sense as you cannot have a negative number 
of days with a negative number of sales.
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Cheers,
Stan H.
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