3-4 Skills Practice Direct Variation Name the constant of variation for each equation. Then determine the slope of the line that passes through each pair of points. 1. 2. 3. Graph each equation. 4. = 3x 5. = 6. = y y – x y x Suppose varies directly as Write a direct variation equation that relates and Then solve. y x. x y. If = when = find If = 45 when = 15, find 7. 8. y x x y x x –8 –2, when = 32. when = 15. y y 9. If = when = 2, find 10. If = when = 3, find y x y y x y –4 –9 when = when = x –6. x –5. If = 4 when = 16, find If = 12 when = 18, find 11. 12. y x y y x x when = 6. when = x y –16. Write a direct variation equation that relates the variables. Then graph the equation. 13. TRAVEL The total cost of gasoline 14. SHIPPING The number of delivered toys C T is $3.00 times the number of gallons is 3 times the total number of crates g. c.
3-4 Skills Practice Direct Variation Name the constant of variation for each equation. Then determine the slope of the line that passes through each pair of points. 1. 2. 3. Graph each equation. 4. y = 3x 5. y = – x 6. y = x Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve. 7. If y = –8 when x = –2, find x 8. If y = 45 when x = 15, find x when y = 32. when y = 15. 9. If y = –4 when x = 2, find y 10. If y = –9 when x = 3, find y when x = –6. when x = –5. 11. If y = 4 when x = 16, find y 12. If y = 12 when x = 18, find x when x = 6. when y = –16. Write a direct variation equation that relates the variables. Then graph the equation. 13. TRAVEL The total cost C of gasoline 14. SHIPPING The number of delivered toys T is $3.00 times the number of gallons g. is 3 times the total number of crates c.
3.4-Skills-Direct-Variation.docx