The most expensive rates (in dollars per minute) for a 2-minute telephone call using a long-distance carrier are listed in the table

The most expensive rates (in dollars per minute) for a 2-minute telephone call using a long-distance carrier are listed in the table. Long-Distance Telephone Rates Year Rate, p (dollars per minute) 1982 1.31 1984 1.26 1985 1.15 1986 1.01 1987 0.85 1988 0.77 1989 0.66 1990 0.65 1995 0.41 2000 0.18 (a) Find the function for the quadratic model that gives the most expensive rates in dollars per minute for a 2-minute telephone call using a long-distance carrier, where x is the number of years since 1980, with data from 2 ≤ x ≤ 20. (Round all numerical values to three decimal places.) p(x) = dollars per minute (b) Calculate the average of the most expensive rates from 1982 through 2000. (Round your answer to three decimal places.) $  per minute (c) Calculate the average rate of change of the most expensive rates from 1982 through 2000. (Round your answer to three decimal places.) $  per minute per year.

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