Image one is the question I need help with , image 2 is backup infomation (the table) . **Educational Content: Understanding Function Rules****Scenario:** Every time a dishwasher is run, it uses 20 gallons of water.**Variables:**- Let $ n $ = the number of times the dishwasher is run.- Let $ g(n) $ = the number of gallons of water used.**Task:** Use the variables listed above to create a function rule.**Function Rule:** The function $ g(n) $ can be expressed as a multiplication of the number of runs $ n $ by the gallons used per run:\[ g(n) = 20n \]This means for every time the dishwasher is used, you multiply the number of runs $ n $ by 20 to find the total gallons of water used. **Exercise: Fill out the table below**This exercise involves completing the table with given values of a function $ g(n) $ for different values of $ n $.| $ n $ | $ g(n) $ ||---------|-----------|| 1 | 20 || 2 | 40 || 3 | 60 || 4 | 80 || 5 | 100 |Each row corresponds to an increment of 1 in $ n $, and $ g(n) $ increases by 20, indicating a linear relationship between $ n $ and $ g(n) $. This table is useful for recognizing patterns in sequences and understanding how functions map inputs to outputs.

Answered: Image /qna-images/answer/2a00addc-ec4d-463f-bff0-b86f7ee53b0a.jpg

Every time a dishwasher is run, it uses 20 gallons of water. et n = the number of times the dishwasher is run and g (n) = the number of gallons of water used. Use the variables listed above to create a function rule. 11

Every time a dishwasher is run, it uses 20 gallons of water. et n = the number of times the dishwasher is run and g (n) = the number of gallons of water used. Use the variables listed above to create a function rule. 11

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

Image one is the question I need help with , image 2 is backup infomation (the table) .

**Educational Content: Understanding Function Rules**

**Scenario:** Every time a dishwasher is run, it uses 20 gallons of water.

**Variables:**
- Let $ n $ = the number of times the dishwasher is run.
- Let $ g(n) $ = the number of gallons of water used.

**Task:** Use the variables listed above to create a function rule.

**Function Rule:**

The function $ g(n) $ can be expressed as a multiplication of the number of runs $ n $ by the gallons used per run:

\[ g(n) = 20n \]

This means for every time the dishwasher is used, you multiply the number of runs $ n $ by 20 to find the total gallons of water used.

**Exercise: Fill out the table below**

This exercise involves completing the table with given values of a function $ g(n) $ for different values of $ n $.

| $ n $ | $ g(n) $ |
|---------|-----------|
| 1 | 20 |
| 2 | 40 |
| 3 | 60 |
| 4 | 80 |
| 5 | 100 |

Each row corresponds to an increment of 1 in $ n $, and $ g(n) $ increases by 20, indicating a linear relationship between $ n $ and $ g(n) $. This table is useful for recognizing patterns in sequences and understanding how functions map inputs to outputs.

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