direct variation describes a an easy relationship between two variables . We say y ** varies directly ** ** through ** x (or * together * x , in part textbooks) if:

y = k x

for part constant k , referred to as the ** continuous of variation ** or ** consistent of proportionality ** . (Some textbooks explain direct sport by saying " y varies directly as x ", " y different proportionally together x ", or " y is straight proportional to x .")

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

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

straight Variation Equation because that 3 various values of k provided that y varies directly as x , with a constant of sports k = 1 3 , discover y as soon as x = 12 . create the direct variation equation. y = 1 3 x instead of the offered x value. y = 1 3 ⋅ 12 y = 4 given that y varies directly as x , discover the consistent of sports if y = 24 and also x = 3 . create the direct variation equation. y = k x instead of the given x and also y values, and also solve for k . 24 = k ⋅ 3 k = 8 mean y varies directly as x , and y = 30 when x = 6 . What is the value of y as soon as x = 100 ? write the direct variation equation. y = k x substitute the provided x and y values, and also solve because that k . 30 = k ⋅ 6 k = 5 The equation is y = 5 x . Now substitute x = 100 and find y . y = 5 ⋅ 100 y = 500 Subjects close to Me act Tutors ARRT check Prep Spanish Lessons series 26 check Prep series 32 check Prep an international Health plan Tutors collection 53 check Prep fifth Grade mathematics Tutors USMLE check Prep Louisiana Bar Exam process & class Rhode Island Bar Exam process & classes PCAT writing Tutors collection 65 check Prep Michigan Bar Exam courses & classes LSW - Licensed society Worker courses & classes Actuarial test FM test Prep collection 6 process & classes LSAT test Prep NAPLEX - nationwide Association boards of Pharmacy test Prep Bar testimonial 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 ft Worth GRE Tutors in san Diego French Tutors in san Francisco-Bay Area ## Download our totally free learning tools apps and also test prep booksShow More Varsity TutorsOur CompanyFree ResourcesTop SubjectsTop LocationsShow legit DisclaimerHide legal DisclaimerPrivacy PolicyTerms of UseSitemapSign In Names of standardized tests are owned by the trademark holders and also are no affiliated with Varsity Tutors LLC. *See complete details for much better Score Guarantee. Media outlet trademarks space owned by the corresponding media outlets and are no affiliated with Varsity Tutors. Award-Winning claim based on CBS Local and Houston push awards. Varsity Tutors walk not have affiliation v universities pointed out on the website. Varsity Tutors connects learners with experts. Instructors room independent builders who continue their solutions to every client, using their very own style,methods and materials. |