Question

A)Use the quadratic equation: Tickets=-0.2^2+12x+11, to determine the last day the that tickets will be sold.(Note: write answer in terms of the number of days after ticket sales begin, x=1 is the day tickets go on sale)
B)Will tickets peak or be at a low during the middle of the sale? How do you know?

Answer 1

I believe that there has to be another part to this question.
I will assume the function describes the number of tickets sold for a given day, if x is the day.

B) the function is a parabola which opens downwards, so it has a max value, the function value being that maximum.

A) The last day when tickets are sold would be the last value of x which is positive (before it crosses the x-axis on its downward path)
so we find the x-intercepts by solving
-0.2^2+12x+11 = 0 (divide by -.2)
x^2 - 60x + 55 = 0
x = (60 ± √(3600 - 4(1)(55))/2
= 59.06 or .93

so it mus be the 59th day.

Answer 2

The first part of the problem says this:
Suppose you are an event coordinator you need to supply information about projected ticket sales to the box office manager, you provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1, is the day tickets go on sale) tickets=-0.2x^2+12x+11