Direct variation describes a simple relationship between two variables . We say y ** varies directly ** ** with ** x (or * as * x , in some textbooks) if:

y = k x

for some consistent k , called the ** constant of variation ** or ** constant of proportionality ** . (Some textbooks describe direct variation by saying " y varies directly together x ", " y varies proportionally as x ", or " y is directly proportional to x .")

This means that together x increases, y increases and together x decreases, y decreases—and that ns ratio between them always stays the same.

The graph of the direct variation equation is a straight line through the origin.

Direct Variation Equation for 3 different values that k Given the y varies directly as x , with a constant of sports k = 1 3 , discover y as soon as x = 12 . Write the direct variation equation. y = 1 3 x Substitute the given x value. y = 1 3 ⋅ 12 y = 4 Given that y varies directly as x , find the constant of variation if y = 24 and also x = 3 . Write the direct variation equation. y = k x Substitute the provided x and y values, and solve for k . 24 = k ⋅ 3 k = 8 Supposture y varies directly as x , and y = 30 once x = 6 . What is the value of y as soon as x = 100 ? Write the direct variation equation. y = k x Substitute the given x and also y values, and solve for k . 30 = k ⋅ 6 k = 5 The equation is y = 5 x . Now instead of x = 100 and discover y . y = 5 ⋅ 100 y = 500 Subjects Near Me AIMS Tutors ARRT Test Prep Spanish Lessons Series 26 Test Prep Series 32 Test Prep Information Architecture Tutors Series 53 Test Prep Software Tutors USMLE Test Prep Louisiana Bar Exam Courses & Classes Rhode Island Bar Exam Courses & Classes SAT Subject Test in Italian Tutors Series 65 Test Prep Michigan Bar Exam Courses & Classes LSW - Licensed Social Worker Courses & Classes Actuarial Exam FM Test Prep Series 6 Courses & Classes LSAT Test Prep NAPLEX - National Association Boards of Pharmacy Test Prep CPS Selective Enrollment Test Tutors Popular Cities Phoenix Tutoring Washington DC Tutoring Salt Lake City Tutoring Las Vegas Tutoring Syracuse Tutoring Nashville Tutoring Sacramento Tutoring Atlanta Tutoring Oklahoma City Tutoring Orlando Tutoring Popular Subjects English Tutors in Los Angeles Chemistry Tutors in Phoenix French Tutors in Houston Biology Tutors in Houston GRE Tutors in Chicago MCAT Tutors in Atlanta Spanish Tutors in New York City Physics Tutors in Dallas Fort Worth GRE Tutors in San Diego French Tutors in San Francisco-Bay Area ## Download our free learning tools apps and test prep booksShow More Varsity TutorsOur CompanyFree ResourcesTop SubjectsTop LocationsShow Legal DisclaimerHide Legal DisclaimerPrivacy PolicyTerms of UseSitemapSign In Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC. *See complete details for Better Score Guarantee. Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors. Award-Winning claim based on CBS Local and Houston Press awards. Varsity Tutors does not have affiliation with universities mentioned on its website. Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style,methods and materials. |