BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.7, Problem 108E
To determine

To evaluate: The range of minutes for which plan B be financially advantageous.

Expert Solution

Answer to Problem 108E

Plan B will be financially advantageous if the minutes are less than 285.71min_.

Explanation of Solution

Given:

The offers from phone service provider is given as,

Plan A: $25 per month and 5ȼ per minute.

Plan B: $5 per month and 12ȼ per minute.

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 x.

Cost for Plan A is 25+0.05x.

Cost for Plan B is 5+0.12x.

Set up the model:

Plan B will be financially advantageous if cost of plan B is less than that of plan A. That is,

Cost for Plan B< Cost of Plan A5+0.12x<25+0.05x

Solve 5+0.12x<25+0.05x as follows:

5+0.12x<25+0.05x5+0.12x5<25+0.05x50.12x<20+0.05x

Further solve the above equation as follows:

0.07x<20x<285.71

Therefore, plan B will be financially advantageous if the minutes are less than 285.71min_.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!