Concept explainers
International Plans A phone service provider offers two international plans.
Plan A: | S25 per month and 5¢ per minute |
Plan B: | S5 per month and 12¢ per minute |
For what range of minutes of international calls would Plan B be financially advantageous?
To evaluate: The range of minutes for which plan B be financially advantageous.
Answer to Problem 108E
Plan B will be financially advantageous if the minutes are less than
Explanation of Solution
Given:
The offers from phone service provider is given as,
Plan A:
Plan B:
Calculation:
Identify the variables:
It is required to find the range of minutes for which plan B be financially advantageous. Let the number of minutes be x.
Translate from words to algebra:
Number of minutes is
Cost for Plan A is
Cost for Plan B is
Set up the model:
Plan B will be financially advantageous if cost of plan B is less than that of plan A. That is,
Solve
Further solve the above equation as follows:
Therefore, plan B will be financially advantageous if the minutes are less than
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th 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