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 is:
Use the quadratic equation to determine the last day that tickets will be sold. (write answer in terms of the number of days after ticket sales begin.)
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Solution:
We have:
x = (-12 ± √((12)2 - 4(-0.2)(11)))/ 2(-0.2)
x = (-12 ± 12.36)/(-0.4)
x = 60.90
x = -0.90
The valid answer is the positive one so the answer is
x = 60.90 ≈ 61 days