Problema Solution
You provide a manager with a quadratic equation that models the expected number of ticet sales for each day x. (x=1 is the day tickets go on sale)
Tickets = -0.2x^2 + 12x + 11
Question:
Will tickets peak or be at a low during the middle of the sale? how do you know? After how many days will the peak or low occur? How many tickets will be sold on the day when the peak or low occurs?
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Solution:
The equation -0.2x^2 + 12x + 11 shows that it will peak because the coefficient of x^2 is a negative number.
The number of days the peak will occur is:
h = -12/2(-0.2)
h = 30 days
The number of tickets sold at peak is:
k = -0.2(30)^2 + 12(30) + 11
k = 191 tickets