Solve for x upcoming event is N(x)=-0.5x^2+13x+12

[Guest]

The number of tickets sold each day for an upcoming event is N(x)=-0.5x^2+13x+12. x=number of days since event was first announced. When will daily ticket sales peak and how many tickets will be sold that day.

[Math Tutor]

The graph of the function is:


Peak is: x = -b/2a
x = -13/2*(-0.5) = 13

So Max is when x=13 and max=-0.5*13^2 + 13*13 + 12 = 96.5