Concept explainers
(a)
To sketch: The graph of the function,
(a)
Explanation of Solution
Given information: Consumer Costs: A certain copy center charges users $0.40 for every minute or part of a minute to use their computer scanner. Suppose that you use their scanner for x minutes, where x is any real number greater than 0.
Calculation:
The required graph is as follows:
(b)
To find: The domain and range of
(b)
Answer to Problem 60SGA
Domain: positive real numbers;
Range: positive multiples of $0.40.
Explanation of Solution
Given information: Consumer Costs: A certain copy center charges users $0.40 for every minute or part of a minute to use their computer scanner. Suppose that you use their scanner for x minutes, where x is any real number greater than 0.
Calculation:
The domain would be positive real numbers and range would be all positive multiples of $0.40
(c)
To sketch: The graph of
(c)
Explanation of Solution
Given information: Consumer Costs: A certain copy center charges users $0.40 for every minute or part of a minute to use their computer scanner. Suppose that you use their scanner for x minutes, where x is any real number greater than 0.
Calculation:
From (a), reverse the variables as shown in the table:
Cost (s) | Number of minutes |
0.4 | |
0.8 | |
1.2 | |
1.6 | |
2 |
The required graphs is as follows:
(d)
To find: The domain and range of
(d)
Answer to Problem 60SGA
Domain: Positive multiples of 0.40.
Range: All positive real numbers.
Explanation of Solution
Given information: Consumer Costs: A certain copy center charges users $0.40 for every minute or part of a minute to use their computer scanner. Suppose that you use their scanner for x minutes, where x is any real number greater than 0.
Calculation:
The domain & range from (b) will be interchanged:
Domain: Positive multiples of 0.40
Range: All positive real numbers
(e)
To find: The real-world situation modeled by
(e)
Answer to Problem 60SGA
The inverse now tells us how long the computer scanner runs for a given cost.
Explanation of Solution
Given information: Consumer Costs: A certain copy center charges users $0.40 for every minute or part of a minute to use their computer scanner. Suppose that you use their scanner for x minutes, where x is any real number greater than 0.
Calculation:
The inverse now tells us how long the computer scanner runs for a given cost.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (4th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning