Posted by Pam on Tuesday, March 18, 2014 at 10:06pm.
The number of tickets sold each day for an upcoming performance is given by N(x)=0.3x^2+9x+15, 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?

Math  Reiny, Tuesday, March 18, 2014 at 10:21pm
for any quadratic function
f(x) = ax^2 + bx + c
the x of the vertex is b/(2a)
sub that x value into the function to get the y of the vertex, so
n(x) = .3x^2 + 9x + 15
x of vertex is 9/(2(.3)) = 15
n(15 = .3(225) + 9(15) + 15
= 82.5
ticket sales will peak on day 15 and they will sell 83 tickets, ( can't sell partial tickets)
check for reasonableness of answer
let x = 14
n(14) .3(196) + 9(14) + 15 = 82.2 , < 82.5
let x = 16
n(16) = .3(256) + 9(16) + 15 = 82.2 , < 82.5
I'll go with my answer
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