SOLUTION: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+13, where x is the number of days since the concert was first announ
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Question 617229: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+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 nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+8x+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?
.
The peak occurs at the vertex:
the x-value of vertex:
x = -b/2a
x = -8/(2*(-0.4))
x = -8/(-0.8)
x = 10 (sales peak 10 days after concert was first announced)
.
number of tickets can be found by plugging x (10) back into original equation:
N(x)=-0.4x^2+8x+13
N(10)=-0.4*10^2+8(10)+13
N(10)=-0.4*100+80+13
N(10)=-40+93
N(10)=53 tickets
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