straight variation explains a straightforward relationship between two variables . We say y ** varies straight ** ** through ** x (or * as * x , in some textbooks) if:

y = k x

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

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

The graph the the straight variation equation is a directly line with the origin.

direct Variation Equation for 3 different values the k given that y varies straight as x , through a continuous of variation k = 1 3 , uncover y when x = 12 . write the straight variation equation. y = 1 3 x instead of the provided x value. y = 1 3 ⋅ 12 y = 4 provided that y varies straight as x , find the consistent of sport if y = 24 and x = 3 . compose the straight variation equation. y = k x instead of the provided x and y values, and also solve because that k . 24 = k ⋅ 3 k = 8 expect y varies directly as x , and y = 30 as soon as x = 6 . What is the value of y as soon as x = 100 ? create the direct variation equation. y = k x instead of the given x and y values, and solve because that k . 30 = k ⋅ 6 k = 5 The equation is y = 5 x . Now substitute x = 100 and also find y . y = 5 ⋅ 100 y = 500 Subjects near Me act Tutors ARRT check Prep Spanish Lessons collection 26 test Prep series 32 check Prep global Health plan Tutors series 53 test Prep fifth Grade math Tutors USMLE check Prep Louisiana Bar Exam courses & classes Rhode Island Bar Exam courses & great PCAT composing Tutors series 65 check Prep Michigan Bar Exam courses & classes LSW - Licensed social Worker process & class Actuarial test FM check Prep collection 6 courses & class LSAT check Prep NAPLEX - nationwide Association board of Pharmacy test Prep Bar review Tutors Popular Cities Phoenix Tutoring Washington DC Tutoring Salt Lake City Tutoring ras 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 mountain Francisco-Bay Area ## Download our cost-free learning tools apps and also test prep booksShow More Varsity TutorsOur CompanyFree ResourcesTop SubjectsTop LocationsShow legal DisclaimerHide legitimate DisclaimerPrivacy PolicyTerms that UseSitemapSign In Names of standardization tests room owned by the trademark holders and also are not affiliated v Varsity Tutors LLC. *See finish details for much better Score Guarantee. Media outlet trademarks are owned through the particular media outlets and are no affiliated v Varsity Tutors. Award-Winning claim based on CBS Local and also Houston press awards. Varsity Tutors go not have actually affiliation through universities mentioned on that is website. Varsity Tutors connect learners through experts. Instructors space independent contractors who keep going their solutions to every client, making use of their very own style,methods and also materials. |