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Learn the concepts of direct, inverse, joint, and combined variation with practical examples. Master the vocabulary and solve problems effortlessly. Improve your math skills and grasp the relationship between variables.
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9-4 Variation Direct Variation Inverse Variation Joint Variation
Vocabulary • Direct Variation As one item increases, so does another … Constant of Variation • Studying and good grades • Exercising and increased strength • Practicing guitar and becoming a better musician
#1 Find an equation of variation where y varies directly as x.
#2 Find an equation of variation where y varies directly as x.
Vocabulary • Inverse Variation
#3 Find an equation of variation where y varies inversely as x.
#4 Find an equation of variation where y varies inversely as x.
Vocabulary • Joint Variation
#7 Find an equation of variation where w varies jointly as x, y, and z.
#8 Find an equation of variation where Q varies jointly as R and S.
Vocabulary • Combined Variation
#9 Find an equation of combined variation where P varies directly as q and inversely as r.
#10 Solve the problem using combined variation. • Find an equation of combined variation where A varies directly as b and inversely as c. One set of values is A = 4, b = 12, and c= 9. Find A when b = 7 and c = 3.