**Service Plan Comparison Problem**Customers of a phone company can choose between two service plans for long distance calls. Here are the details of the plans:- **Plan 1:** - Monthly fee: $21 - Additional charge: $0.12 per minute of calls- **Plan 2:** - No monthly fee - Charge: $0.16 per minute of calls**Problem Statement:** Determine the number of minutes of calls at which the costs of the two plans will be equal.**User Interface Elements:**- An input box where users can enter their answer in minutes.- A "Check" button to verify the solution.**Explanation Section:**This section would provide an explanation or solution once the user attempts the problem. It would involve setting the total costs of both plans equal to each other and solving for the number of minutes. ## Solving a Value Mixture Problem Using a Linear Equation### Carmen's Coffee ShopCarmen's Coffee Shop creates a blend that consists of two types of coffee. The following details describe the mixture:- **Type A Coffee**: Costs $4.10 per pound.- **Type B Coffee**: Costs $5.95 per pound.This month's blend used four times as many pounds of Type B coffee as Type A, with a total cost of $641.70. The problem is to determine how many pounds of Type A coffee were used.#### TaskCalculate the number of pounds of Type A coffee used.**Solution Box:**- [Input box for the number of pounds of Type A coffee]- Buttons: X (clear), checkmark (submit answer), or help (? for hints).To solve this problem, you would set up a linear equation based on the given information and solve for the unknown quantity, which is the number of pounds of Type A coffee.

Since you have asked multiple questions , we will solve first question for you. If you want any…

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has no monthly fee but charges $0.16 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal? min minutes

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has no monthly fee but charges $0.16 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal? min minutes

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Service Plan Comparison Problem**

Customers of a phone company can choose between two service plans for long distance calls. Here are the details of the plans:

- **Plan 1:**
- Monthly fee: $21
- Additional charge: $0.12 per minute of calls

- **Plan 2:**
- No monthly fee
- Charge: $0.16 per minute of calls

**Problem Statement:** Determine the number of minutes of calls at which the costs of the two plans will be equal.

**User Interface Elements:**

- An input box where users can enter their answer in minutes.
- A "Check" button to verify the solution.

**Explanation Section:**

This section would provide an explanation or solution once the user attempts the problem. It would involve setting the total costs of both plans equal to each other and solving for the number of minutes.

## Solving a Value Mixture Problem Using a Linear Equation

### Carmen's Coffee Shop

Carmen's Coffee Shop creates a blend that consists of two types of coffee. The following details describe the mixture:

- **Type A Coffee**: Costs $4.10 per pound.
- **Type B Coffee**: Costs $5.95 per pound.

This month's blend used four times as many pounds of Type B coffee as Type A, with a total cost of $641.70. The problem is to determine how many pounds of Type A coffee were used.

#### Task

Calculate the number of pounds of Type A coffee used.

**Solution Box:**
- [Input box for the number of pounds of Type A coffee]

- Buttons: X (clear), checkmark (submit answer), or help (? for hints).

To solve this problem, you would set up a linear equation based on the given information and solve for the unknown quantity, which is the number of pounds of Type A coffee.

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