The average admission prices P for movie theaters from 2001 through 2008 can be approximated by the model P = 0.0103t 2 + 0.119t + 5.55, 1 ≤ t ≤ 8 where t represents the year, with t = 1 corresponding...


The average admission pricesP for movie theaters from 2001 through 2008 can be approximated by the model



P = 0.0103t2 + 0.119t + 5.55,     1 ≤ t ≤ 8


wheret represents the year, witht = 1 corresponding to 2001.†


(a) Use the model to complete the table to determine when the average admission price reached or surpassed $6.50. (Round your answer to two decimal places.)


(a) Use the model to complete the table to determine when the average admission price reached or surpassed $6.50. (Round your answer to two decimal places.)









































t

P
1$ 5.6793
2$ 5.8292
3$ 5.9997
4$ 6.1908
5$ 6.4025
6$ 6.6348
7$ 6.8877
8$ 7.1612


(b) Verify your result from part (a) algebraically. (Round your answer to two decimal places.)


t=             yrs.





Jun 07, 2022
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