# Algebra

posted by Aria

Posted by Aria on Monday, August 29, 2011 at 2:58pm.

This is a concept check on quadratic equation application. I am having trouble with a couple of parts. If anyone can help I would appreciate it.

Suppose you are an event coordinator for a large performance theater. You need to supply information about projected ticket sales to the manager. You provide a quadratic equation that models expected number of sales for each day 'x'. (x=1 is the day tickets go on sale."
Tickets=-2x^2+12x+11

B. Describe what happens to the ticket sales as time passes.

I am not sure how to determine this. Do I determine this by the vertex or line of symmetry?

D.Will tickets peak or be at a low during the middle of the sale? How do you know?

Again, this question stumps me. How do you tell something like this with a parabola?

I would appreciate a detailed explanation. I don't want answers as much as how to determine the information.

Thanks for helping.

1. Davis

For D).....
Your parabola should be negative because of the -2X^2. SO the parabola when you graph it is a backwards U. The middle of the backwards "U" has a high maximum so your tickets should be at a peak during the middle of the sale.

2. Davis

As time passes, the ticket sales get higher. Each time you plug in different values of X, the day tickets go on sale, your Y value increases.

3. Aria

Thank you for your help. I understand a whole lot more.

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