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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
Related questions
Question
100%
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning