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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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd1e321d-30dc-45b6-84aa-45641a046d54%2F2a00addc-ec4d-463f-bff0-b86f7ee53b0a%2F912ympq_processed.png&w=3840&q=75)
Transcribed Image Text:**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.

Transcribed Image Text:**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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