SOLUTION: The average ticket prices P at movie theaters feom 2001 through 2010 cam be approximated by the model. P= 0.0133t^2 + 0.096t + 5.57, 1 <(have an underline below <) t <(have an und

Algebra ->  Rational-functions -> SOLUTION: The average ticket prices P at movie theaters feom 2001 through 2010 cam be approximated by the model. P= 0.0133t^2 + 0.096t + 5.57, 1 <(have an underline below <) t <(have an und      Log On


   

Question 978887: The average ticket prices P at movie theaters feom 2001 through 2010 cam be approximated by the model.
P= 0.0133t^2 + 0.096t + 5.57, 1 <(have an underline below <) t <(have an underline below <) 10
Where t represents the year, with t=1 corresponding to 2001.
a) use a graphing utility to graph the model. Then use the graph to determine the year in which the average ticket price reached $6.50.
B) verify your result from part (a) algebraically.
c) use the model to predict the average ticket price at movie theaters in 2020. Is this prediction reasonable? How does this value compare with the ticket price where you live?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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When t=5.5 would have been
2001%2B5.5=2006.5 in the middle of the year 2006.
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0.0133%285.5%29%5E2%2B0.096%285.5%29%2B5.57=6.5
Work through that to make sure the left hand side does equal the right hand side.
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In 2020, then t will be equal to 20 so substitute into the equation,
P=0.0133%2820%29%5E2%2B0.096%2820%29%2B5.57
to get the price.