Greta's Gas Company charges residential customers $6 per month even if they use no gas, plus 88¢ per therm used. (A therm is a quantity of gas.) In addition, the company is authorized to add a rate adjustment, or surcharge, per therm. The total cost of using g therms of gas in a month is given by (a) Which term represents the rate adjustment? 0.111g v What is the rate adjustment in cents per therm? cents per therm i 0.991 (b) Is the expression for the total cost linear? Yes e Textbook and Media Total cost = 6 + 0.88g + 0.111g. muha

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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What is the rate adjustment in cents per therm ? 

**Current Attempt in Progress:**

**Note:** Your answer is partially correct.

**Problem Statement:**

Greta's Gas Company charges residential customers $6 per month even if they use no gas, plus 88¢ per therm used. (A therm is a quantity of gas.) In addition, the company is authorized to add a rate adjustment, or surcharge, per therm. The total cost of using \( g \) therms of gas in a month is given by:

\[ \text{Total cost} = 6 + 0.88g + 0.111g. \]

**Questions:**

(a) **Which term represents the rate adjustment?**

- Options: \(0.111g\)

- **What is the rate adjustment in cents per therm?**

  - Input: 0.991 cents per therm

(b) **Is the expression for the total cost linear?**

- Options: Yes

**Explanation of the Expression:**

The total cost equation provided is linear, indicating that the cost changes consistently with the usage of gas, represented by \( g \). This linear equation combines a fixed monthly charge, a variable cost based on usage, and an additional rate adjustment. Each component is directly proportional to the number of therms used.
Transcribed Image Text:**Current Attempt in Progress:** **Note:** Your answer is partially correct. **Problem Statement:** Greta's Gas Company charges residential customers $6 per month even if they use no gas, plus 88¢ per therm used. (A therm is a quantity of gas.) In addition, the company is authorized to add a rate adjustment, or surcharge, per therm. The total cost of using \( g \) therms of gas in a month is given by: \[ \text{Total cost} = 6 + 0.88g + 0.111g. \] **Questions:** (a) **Which term represents the rate adjustment?** - Options: \(0.111g\) - **What is the rate adjustment in cents per therm?** - Input: 0.991 cents per therm (b) **Is the expression for the total cost linear?** - Options: Yes **Explanation of the Expression:** The total cost equation provided is linear, indicating that the cost changes consistently with the usage of gas, represented by \( g \). This linear equation combines a fixed monthly charge, a variable cost based on usage, and an additional rate adjustment. Each component is directly proportional to the number of therms used.
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