SOLUTION: Tickets= -0.2x squared + 12x + 11 Does the graph open up or down and why. Describe what happens to the ticket sales as time passes. Use the quadratic equation to determine the l

Algebra ->  Rational-functions -> SOLUTION: Tickets= -0.2x squared + 12x + 11 Does the graph open up or down and why. Describe what happens to the ticket sales as time passes. Use the quadratic equation to determine the l      Log On


   

Question 288151: Tickets= -0.2x squared + 12x + 11 Does the graph open up or down and why. Describe what happens to the ticket sales as time passes. Use the quadratic equation to determine the last day that tickets will be sold. Will tickets peak or be at a low during the middle of the sale and why? After how many days will the peak or low occur? How many tickets will be sold on the day when the peak or low occurs? What is the point of the vertex? How many solutions are there to the equation and why. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense? Help I am totally lost. thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Tickets= -0.2x^2 + 12x + 11 Does the graph open up or down and why.
When the coefficient of x^2 is negative, graph opens down; positive, it opens up.
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Describe what happens to the ticket sales as time passes.
A graph of the equation will explain it best,
no. of tickets sold on the y axis
no. of days on the x axis
+graph%28+300%2C+200%2C+-10%2C+90%2C+-100%2C+300%2C+-.2x%5E2%2B12x%2B11%29+
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Use the quadratic equation to determine the last day that tickets will be sold.
the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In this equation: a=-.2; b=12; c=11
x+=+%28-12+%2B-+sqrt%2812%5E2-4%2A-.2%2A11+%29%29%2F%282%2A-.2%29+
:
x+=+%28-12+%2B-+sqrt%28144%2B8.8+%29%29%2F%28-.4%29+
:
x+=+%28-12+%2B-+sqrt%28152.8+%29%29%2F%28-.4%29+
Two solutions
x+=+%28-12+%2B+12.36%29%2F%28-.4%29+
x = .36%2F%28.4%29
x = -.9
and
x+=+%28-12+-+12.36%29%2F%28-.4%29+
x = %28-24.36%29%2F%28-.4%29
x = +60.9 ~ 61 days, tickets sold goes to 0
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Will tickets peak or be at a low during the middle of the sale and why? After how many days will the peak or low occur? How many tickets will be sold on the day when the peak or low occurs? What is the point of the vertex?
:
Using the graph to answer these equation, Tickets peak at 30 days, then 191 tickets will be sold. x=30, y=191 is the vertex
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How many solutions are there to the equation and why.
What do the solutions represent?
Is there a solution that does not make sense? If so, in what ways:
:
Quadratic equations have two solutions, but in real life only the positive solution makes sense.