SOLUTION: Using equation Tickets=-0.2x^2+12x+11 describe what happens to ticket sales as the time passes?

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Question 451608: Using equation Tickets=-0.2x^2+12x+11 describe what happens to ticket sales as the time passes?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
Tickets = -0.2x^2+12x+11 |Completing the square to find the vertex
= -.2[(x -30)^2 - 900] + 11
= -.2(x-30)^2 + 180 + 11
= -.2(x-30)^2 + 191 Descriptive of a parabola opening downward V(30,191)
Ticket sales peak when x = 30 at 191ticket sales and decline after that.