Class 8 Exam > Class 8 Notes > PPTs for Class 8 > PPT: Direct & Inverse Proportions
Direct & Inverse Proportions Class 8 PPT
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such that Variation The number k is called the constant of variation or the constant of proportionality . kx y ? Verbal Phrase Expression ?? ???????? ???? ???????? ???????? ??????h ?? ?? = ???? ?? ???????? ???? ???????? ???????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ?????? ?? ???? ?? ?? = ?? ?? 3 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ???? . ???? . ???? ?? ?? = ?? ?? Page 2 Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such that Variation The number k is called the constant of variation or the constant of proportionality . kx y ? Verbal Phrase Expression ?? ???????? ???? ???????? ???????? ??????h ?? ?? = ???? ?? ???????? ???? ???????? ???????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ?????? ?? ???? ?? ?? = ?? ?? 3 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ???? . ???? . ???? ?? ?? = ?? ?? 1. y varies directly as x. 2. y is directly proportional to x. 3. y = kx for some nonzero constant m. NOTE: k is the constant of variation or the constant of proportionality. Example: If y = 3 when x = 2, find k. y = kx yields 3 = m(2) or m = 1.5. Thus, y = 1.5x. Direct Variation Statements Page 3 Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such that Variation The number k is called the constant of variation or the constant of proportionality . kx y ? Verbal Phrase Expression ?? ???????? ???? ???????? ???????? ??????h ?? ?? = ???? ?? ???????? ???? ???????? ???????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ?????? ?? ???? ?? ?? = ?? ?? 3 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ???? . ???? . ???? ?? ?? = ?? ?? 1. y varies directly as x. 2. y is directly proportional to x. 3. y = kx for some nonzero constant m. NOTE: k is the constant of variation or the constant of proportionality. Example: If y = 3 when x = 2, find k. y = kx yields 3 = m(2) or m = 1.5. Thus, y = 1.5x. Direct Variation Statements Direct Variation kx y ? ? ? 8 24 k ? k ? 8 24 Suppose y varies directly as x. If y is 24 when x is 8, find the constant of variation (k) and the direct variation equation. 3 ? k x y 3 ? direct variation equation constant of variation x y 3 9 5 15 9 27 13 39 Variation Page 4 Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such that Variation The number k is called the constant of variation or the constant of proportionality . kx y ? Verbal Phrase Expression ?? ???????? ???? ???????? ???????? ??????h ?? ?? = ???? ?? ???????? ???? ???????? ???????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ?????? ?? ???? ?? ?? = ?? ?? 3 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ???? . ???? . ???? ?? ?? = ?? ?? 1. y varies directly as x. 2. y is directly proportional to x. 3. y = kx for some nonzero constant m. NOTE: k is the constant of variation or the constant of proportionality. Example: If y = 3 when x = 2, find k. y = kx yields 3 = m(2) or m = 1.5. Thus, y = 1.5x. Direct Variation Statements Direct Variation kx y ? ? ? 8 24 k ? k ? 8 24 Suppose y varies directly as x. If y is 24 when x is 8, find the constant of variation (k) and the direct variation equation. 3 ? k x y 3 ? direct variation equation constant of variation x y 3 9 5 15 9 27 13 39 Variation Inverse Variation: y varies inversely as x (y is inversely proportional to x), if there is a nonzero constant k such that The number k is called the constant of variation or the constant of proportionality. . x k y ? Verbal Phrase Expression ?? ???? ???????????? ?????? ?????????? ?????? ???????? ??????h ?? ?? = ?? ?? ?? ???????? ???? ???????????? ?????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????????? ?????? ?????????? ?????? ?????? ?? ???? ?? 4 ?? = ?? ?? 4 ?? ???????? ???? ???????????? ?????? ??????h ??h?? ???????? . ???? . ???? ?? ?? = ?? 3 ?? Variation Page 5 Direct Variation: y varies directly as x (y is directly proportional to x), if there is a nonzero constant k such that Variation The number k is called the constant of variation or the constant of proportionality . kx y ? Verbal Phrase Expression ?? ???????? ???? ???????? ???????? ??????h ?? ?? = ???? ?? ???????? ???? ???????? ???????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ?????? ?? ???? ?? ?? = ?? ?? 3 ?? ???? ???????? ???????? ???????? . ??????h ??h?? ???? . ???? . ???? ?? ?? = ?? ?? 1. y varies directly as x. 2. y is directly proportional to x. 3. y = kx for some nonzero constant m. NOTE: k is the constant of variation or the constant of proportionality. Example: If y = 3 when x = 2, find k. y = kx yields 3 = m(2) or m = 1.5. Thus, y = 1.5x. Direct Variation Statements Direct Variation kx y ? ? ? 8 24 k ? k ? 8 24 Suppose y varies directly as x. If y is 24 when x is 8, find the constant of variation (k) and the direct variation equation. 3 ? k x y 3 ? direct variation equation constant of variation x y 3 9 5 15 9 27 13 39 Variation Inverse Variation: y varies inversely as x (y is inversely proportional to x), if there is a nonzero constant k such that The number k is called the constant of variation or the constant of proportionality. . x k y ? Verbal Phrase Expression ?? ???? ???????????? ?????? ?????????? ?????? ???????? ??????h ?? ?? = ?? ?? ?? ???????? ???? ???????????? ?????? ??????h ??h?? ?????????? ?? ???? ?? ?? = ?? ?? 2 ?? ???? ???????????? ?????? ?????????? ?????? ?????? ?? ???? ?? 4 ?? = ?? ?? 4 ?? ???????? ???? ???????????? ?????? ??????h ??h?? ???????? . ???? . ???? ?? ?? = ?? 3 ?? Variation 1. y varies inversely as x. 2. y is inversely proportional to x. 3. y = k / x for some nonzero constant k. NOTE: k is the constant of variation or the constant of proportionality. Example: If y = 3 when x = 2, find k. y = k / x yields 3 = k / 2 or k = 6. Thus, y = 6 / x. Inverse Variation StatementsRead More
|
82 docs
|
FAQs on Direct & Inverse Proportions Class 8 PPT
| 1. What is direct proportion? |  |
Ans. Direct proportion is a mathematical relationship between two variables where an increase or decrease in one variable results in a corresponding increase or decrease in the other variable. In simple terms, if one variable doubles, the other variable also doubles, and if one variable is halved, the other variable is also halved.
| 2. What is inverse proportion? | |
Ans. Inverse proportion is a mathematical relationship between two variables where an increase in one variable results in a corresponding decrease in the other variable, and vice versa. In this case, if one variable doubles, the other variable is halved, and if one variable is halved, the other variable doubles.
| 3. How can we identify direct proportion in a given problem? | |
Ans. To identify direct proportion in a given problem, we need to check if an increase or decrease in one variable directly affects the other variable in the same way. If both variables increase or decrease together, then they are in direct proportion. Additionally, if the ratio of the two variables remains constant, it indicates a direct proportion.
| 4. How can we identify inverse proportion in a given problem? | |
Ans. To identify inverse proportion in a given problem, we need to check if an increase in one variable leads to a decrease in the other variable, and vice versa. If the product of the two variables remains constant, it indicates an inverse proportion. Additionally, if the ratio of one variable to the other is constant, it also indicates an inverse proportion.
| 5. Can a relationship be both direct and inverse proportion at the same time? | |
Ans. No, a relationship cannot be both direct and inverse proportion at the same time. Direct proportion implies that as one variable increases, the other variable also increases, while inverse proportion implies that as one variable increases, the other variable decreases. These two concepts are opposite of each other and cannot coexist in a single relationship.
Related Exams
About this Document
|
Nov 23, 2024 Last updated |
Document Description: PPT: Direct & Inverse Proportions for Class 8 2024 is part of PPTs for Class 8 preparation.
The notes and questions for PPT: Direct & Inverse Proportions have been prepared according to the Class 8 exam syllabus. Information about PPT: Direct & Inverse Proportions covers topics
like and PPT: Direct & Inverse Proportions Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for PPT: Direct & Inverse Proportions.
Introduction of PPT: Direct & Inverse Proportions in English is available as part of our PPTs for Class 8
for Class 8 & PPT: Direct & Inverse Proportions in Hindi for PPTs for Class 8 course.
Download more important topics related with notes, lectures and mock test series for Class 8
Exam by signing up for free. Class 8: Direct & Inverse Proportions Class 8 PPT
Description
Full syllabus notes, lecture & questions for Direct & Inverse Proportions Class 8 PPT - Class 8 | Plus excerises question with solution to help you revise complete syllabus for PPTs for Class 8 | Best notes, free PDF download
Information about PPT: Direct & Inverse Proportions
In this doc you can find the meaning of PPT: Direct & Inverse Proportions defined & explained in the simplest way possible. Besides explaining types of
PPT: Direct & Inverse Proportions theory, EduRev gives you an ample number of questions to practice PPT: Direct & Inverse Proportions tests, examples and also practice Class 8
tests
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Semester Notes
,Viva Questions
,practice quizzes
,Previous Year Questions with Solutions
,Direct & Inverse Proportions Class 8 PPT
,video lectures
,mock tests for examination
,Summary
,Objective type Questions
,Direct & Inverse Proportions Class 8 PPT
,Direct & Inverse Proportions Class 8 PPT
,Exam
,MCQs
,past year papers
,Free
,Important questions
,ppt
,Sample Paper
,Extra Questions
,shortcuts and tricks
,study material
;
Additional Information about PPT: Direct & Inverse Proportions for Class 8 Preparation
PPT: Direct & Inverse Proportions Free PDF Download
The PPT: Direct & Inverse Proportions is an invaluable resource that delves deep into the core of the Class 8 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the PPT: Direct & Inverse Proportions now and kickstart your journey towards success in the Class 8 exam.
Importance of PPT: Direct & Inverse Proportions
The importance of PPT: Direct & Inverse Proportions cannot be overstated, especially for Class 8 aspirants.
This document holds the key to success in the Class 8 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
PPT: Direct & Inverse Proportions Notes
PPT: Direct & Inverse Proportions Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to PPT: Direct & Inverse Proportions.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, PPT: Direct & Inverse Proportions Notes on EduRev are your ultimate resource for success.
PPT: Direct & Inverse Proportions Class 8 Questions
The "PPT: Direct & Inverse Proportions Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study PPT: Direct & Inverse Proportions on the App
Students of Class 8 can study PPT: Direct & Inverse Proportions alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the PPT: Direct & Inverse Proportions,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of PPT: Direct & Inverse Proportions is prepared as per the latest Class 8 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup