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Math 7 Unit 6 Study Guide Name______________________________ Values that Vary Period___________________ 1. What is the equation for direct variation? __________________________ 2. What equation would you use to find the constant (k) for direct variation? ________________ 3. What is the equation for inverse variation? _________________________ 4. What equation would you use to find the constant (k) for inverse variation? _______________ 5. What is the formula for inverse variation proportion? _____________________ 6. Write the product rule for inverse variation. ____________________ 7. If you are given a table of values of x and y, name two ways you can you tell if the relationship is a representation of direct variation? a) __________________________________ b) ______________________________ 8. If you are given a table of values of x and y, name two ways you can you tell if the relationship is a representation of inverse variation? a) __________________________________ b) ______________________________ 9. What does the graph of an Inverse variation look like? a)_____________________________ b)________________________________ 10. What does the graph of a direct variation look like? a)______________________________b)________________________________ 11. The following 4 coordinates are points on a coordinate plane: (2, 3), (1, 6), (3, 2), (6, 1). Do the connected points represent a direct variation, inverse variation, or neither? Why? __________________________________ __________________________________ __________________________________ __________________________________ _____________________________ 12. x varies inversely with y. If x=8 when y=2, what is the value of y when x=4? 13. What type of variation is y= 100 ? ________________________________ x 14. The Georgia lottery has $20,000,000 to award recipients. It gives each winner the same amount of money. How would you decide how much money each recipient receives? Is this an example of a direct or inverse variation? ______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ What is the equation that you would use for this situation? _______________________________ 15. Sean makes $10.00 per hour. What equation would you use to determine how much money he could make? _______________________________ Is this an example of a direct or inverse variation? ______________________________ 16 . Determine if the tables below represent inverse or direct variation or neither. If a type of variation exists, write the equation of variation under the table. The variables x and y vary directly. Use the given values to write an equations that relates x and y. Fill in the values for y in the chart provided and graph the points and connect them with a line. 17. y=2x X 18. Y= 1/3x X Y -2 -6 0 -3 1 0 2 3 3 6 Y The variables for x and y vary inversely. Use the given values to write an equation that relates x and y. Fill in the chart provided and graph the points and connect them with a line.) 19. X Y -6 -2 -3 -4 -2 -6 2 6 3 4 6 2 Find each equation of direct variation, given that y varies directly with x 20 y = 10 when x = 2 22. y = 15 when x = 5 21. Y = 42 when x = - 6 23. y = 15 when x = 30 24. Can the graph of an equation show both a direct variation and an indirect variation on the same graph? Why or why not?