Posted by Tish on Thursday, February 10, 2011 at 2:51am.
The number of tickets sold each day for an upcoming performance is given by N(x)=0.5x^2+12x+13, where x is the number of days since the performance was first announced. When will daily ticket sales peak and how many tickets will be sold that day?

Math  Kate, Thursday, February 10, 2011 at 1:35pm
It depends a little on what math class you're in how they want you to solve this. But basically, this function is a parabola and you need to find the vertex.
x=b/(2a), where a=0.5, and b=12
x=12/(2*0.5)=12, this is the x coordinate of the vertex and also the number of days since the performance was announced. Then you substitute 12 in for x in the original equation:
0.5(12)^2 + 12(12) + 13 = 85. This is the y coordinate of the vertex and the number of tickets sold.
So the daily tickets sales will peak 12 days after the performance was announced, with a maximum of 85 tickets sold that day.
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