1. Objective: Apply algebraic techniques to rate problems.

2. Vocabulary Direct Variation Constant of Variation

3. #1 Find an equation of variation where y varies directly as x.

4. #2 Find an equation of variation where y varies directly as x. k = 5/8 y = 5/8x

5. Vocabulary Inverse Variation

6. #3 Find an equation of variation where y varies inversely as x.

7. #4 Find an equation of variation where y varies inversely as x.

8. #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?

9. #5 Solve the problem using direct variation.

10. #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?

11. #6 Solve the problem using direct variation.

12. Vocabulary Joint Variation

13. #7 Find an equation of variation where w varies jointly as x, y, and z.

14. #8 Find an equation of variation where Q varies jointly as R and S.

15. Vocabulary Combined Variation

16. #9 Find an equation of combined variation where P varies directly as q and inversely as r.

17. #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.

18. #10 Solve the problem using combined variation.

19. #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?

20. #11 Solve the problem using variation.