SOLUTION: The number of tickets sold each day for an upcoming event is given by N(x)=-0.5x^2+13x+13, where x is the number of days since the concert was first announced. When will daily tick

Algebra ->  Equations -> SOLUTION: The number of tickets sold each day for an upcoming event is given by N(x)=-0.5x^2+13x+13, where x is the number of days since the concert was first announced. When will daily tick      Log On


   



Question 436833: The number of tickets sold each day for an upcoming event is given by N(x)=-0.5x^2+13x+13, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The number of tickets sold each day for an upcoming event is given by N(x)=-0.5x^2+13x+13,
where x is the number of days since the concert was first announced.
When will daily ticket sales peak and how many tickets will be sold that day
:
N(x)=-0.5x^2+13x+13 is a quadratic equation, max sales occur at the axis of symmetry
Find the axis symmetry with the formula x = -b/(2a)
In this equation: a=-.5, b=13
x = %28-13%29%2F%282%2A-.5%29
x = +13 days after announced it will be at peak sales
:
Find peak sales, replace x with 13
N(x)=-0.5(13^2)+13(13)+13
N(13) = -84.5 + 269 + 13
N(13) ~ 97 ticket sold on that day