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12.5 – 12.7 Variation. CA Standard 15.0 Apply algebraic techniques to rate problems. Vocabulary. Direct Variation. Constant of Variation. #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.

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### 12.5 – 12.7 Variation

CA Standard 15.0

Apply algebraic techniques to rate problems.

• Direct Variation

Constant of Variation

• Inverse Variation

• The Weight (V) of an object on Venus varies directly as its weight (E) on Earth. A person weighing 120 lb on Earth would weigh 106 lb on Venus. How much would a person weighing 150 lb on Earth weigh on Venus?

• The time (t) required to drive a fixed distance varies inversely as the speed (r). It takes 5 hours at 60 km/h to drive a fixed distance. How long would it take to drive the same distance at 40 km/h?

• 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.

• Combined Variation

#9 Find an equation of combined variation where P varies directly as q and inversely as r.

• 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.

• The interest earned at Whole World Savings & Loan varies jointly as the amount deposited in the bank and the time elapsed since the deposit. If a \$500 deposit earns \$120 interest after 3 years, how much does an \$800 deposit earn after 5 years?