How Do You Determine The Constant Of Variation For Class 8 Maths ...

CoursesCourses for KidsFree study materialOffline CentresMoreStore

Talk to our experts

1800-120-456-456

Sign In

• Question Answer

• Class 8

• Maths

• How do you determine the const...

AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsHow do you determine the constant of variation for the direct variation given by $ \left( {1,8} \right)\left( {2,4} \right)\left( {4,2} \right)\left( {8,1} \right) $ ?AnswerVerified562.2k+ viewsHint: In this problem we asked to determine the constant of variation for the direct variation given by the direct variation set. And also we have to find the given set represents a direct variation or inverse variation with a constant. The constant of variation can be finding by using some formulasFormula used: The formula for the direct variation is $ y = c.x $ . The formula for inverse variation is $ x.y = c $ , where $ y $ varies directly as $ x $ , $ y $ is directly proportional to $ x $ and $ c $ is the constant.Complete step by step answer:Given set is $ \left( {1,8} \right)\left( {2,4} \right)\left( {4,2} \right)\left( {8,1} \right) $ We have to find the constant of variation.The constant of variation in a direct variation is the constant ratio of two variable quantities. If $ \left( {x,y} \right) \in $ direct variation set, then we can write $ y = c \times x $ for some constant $ c $ and all pairs $ \left( {x,y} \right) $ .If we consider only the first two pairs of the defining set, we have, $ 8 = c \times 1 - - - - - (1) $ And $ 4 = c \times 2 - - - - - (2) $ Obviously both cannot be true for any single value of $ c $ . If we give the same value for $ c $ in equation (1) and in equation (2) then both the equations are never satisfied.However, if $ y $ varies inversely with $ x $ then $ x \times y = c $ for some constant $ c $ and all pairs $ \left( {x,y} \right) $ .When we considering the first pair, $ \left( {1,8} \right) \to 1 \times 8 = 8 $ When we considering the second pair, $ \left( {2,4} \right) \to 2 \times 4 = 8 $ When we considering the third pair $ \left( {4,2} \right) \to 4 \times 2 = 8 $ When we considering the fourth pair $ \left( {8,1} \right) \to 8 \times 1 = 8 $ So it is clear that it is an inverse variation with a constant of $ 8 $ .Therefore, the given set does not represent a direct variation; it is an inverse variation with a constant of $ 8 $ .Note: For a direct variation if we multiply the value of one of our variables by a number, it must result in the value of the other variable being multiplied by that same number. For an inverse variation if we multiply the value of one of our variables by a number, it must result in the value of the other variable being divided by that number.Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 12 Business Studies: Engaging Questions & Answers for SuccessMaster Class 12 Biology: Engaging Questions & Answers for SuccessMaster Class 12 Chemistry: Engaging Questions & Answers for SuccessClass 12 Question and Answer - Your Ultimate Solutions GuideMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 12 Business Studies: Engaging Questions & Answers for SuccessMaster Class 12 Biology: Engaging Questions & Answers for SuccessMaster Class 12 Chemistry: Engaging Questions & Answers for SuccessClass 12 Question and Answer - Your Ultimate Solutions GuideMaster Class 11 Computer Science: Engaging Questions & Answers for Success

• 1
• 2

Trending doubtsWhat is BLO What is the full form of BLO class 8 social science CBSEWrite the smallest number divisible by both 306 and class 8 maths CBSECitizens of India can vote at the age of A 18 years class 8 social science CBSEThe number of corners in a cube are A 4 B 6 C 8 D class 8 maths CBSEFind the greatest six digit number that is exactly class 8 maths CBSECheck whether 6n can end with a digit zero for any class 8 maths CBSEWhat is BLO What is the full form of BLO class 8 social science CBSEWrite the smallest number divisible by both 306 and class 8 maths CBSECitizens of India can vote at the age of A 18 years class 8 social science CBSEThe number of corners in a cube are A 4 B 6 C 8 D class 8 maths CBSEFind the greatest six digit number that is exactly class 8 maths CBSECheck whether 6n can end with a digit zero for any class 8 maths CBSE

• 1
• 2