SOLUTION: Ticket Sales. The number of tickets sold each day for an upcoming performance of Handel’s Messiah is given by ,N(x) -0.5x^2+12x+13 where x is the number of days since the conce

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ticket Sales. The number of tickets sold each day for an upcoming performance of Handel’s Messiah is given by ,N(x) -0.5x^2+12x+13 where x is the number of days since the conce      Log On


   

Question 320010: Ticket Sales. The number of tickets sold each day for
an upcoming performance of Handel’s Messiah is
given by
,N(x) -0.5x^2+12x+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):
You can put this solution on YOUR website!
N(x)= -0.5x^2 + 12x + 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?
:
Note that this is a quadratic equation where a=-.5, b=12, c=13
Find the axis of symmetry, then the vertex
x = %28-b%29%2F%282a%29
x = %28-12%29%2F%282%2A-.5%29+
x = %28-12%29%2F%28-1%29+
x = 12 days since announced, will be peak ticket sales
:
Find N(x) for this value
N(12) = -.5(12^2) + 12(12) + 13
N(12) = -.5(144) + 144 + 13
N(12) = -72 + 144 + 13
N(12) = 85 tickets sold on day 12