<PRE><B>Question 320010</B>
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 = {{{(-b)/(2a)}}}
x = {{{(-12)/(2*-.5) }}}
x = {{{(-12)/(-1) }}}
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</PRE>