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.
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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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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
(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.
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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