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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 l.jpg

12.5 – 12.7 Variation

CA Standard 15.0

Apply algebraic techniques to rate problems.


Vocabulary l.jpg
Vocabulary

  • Direct Variation

Constant of Variation




Vocabulary5 l.jpg
Vocabulary

  • Inverse Variation




5 solve the problem using direct variation l.jpg
#5 Solve the problem using direct 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?



6 solve the problem using inverse variation l.jpg
#6 Solve the problem using inverse variation.

  • 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?



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Vocabulary

  • Joint Variation


7 find an equation of variation where w varies jointly as x y and z l.jpg
#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 l.jpg
#8 Find an equation of variation where Q varies jointly as R and S.


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Vocabulary

  • Combined Variation


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


10 solve the problem using combined variation l.jpg
#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.



11 solve the problem using variation l.jpg
#11 Solve the problem using variation.

  • 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?