11-1 Skills Practice Inverse Variation Determine whether each table or equation represents an or a variation. Explain. inverse direct 1 2. = 3. + = 0 xy y –2x x y 0.5 8 1 4 2 2 4 1 Assume that varies inversely as an inverse variation equation that relates and y x. x y. Then graph the equation. 4. = 2 when = 5 5. = when = y x y x –6 –6 6. = when = 7. = 15 when = 3 y x y x –4 –12 Solve. Assume that varies inversely as y x. 8. If = 4 when = 8, 9. If = when = 3, y x y x –7 find when = 2. find when = y x y x –3. 10. If = when = 11. If = when = y x y x –6 –2, –24 –3, find when = 4. find when = y x x y –6. 12. If = 15 when = 1, 13. If = 48 when = y x y x –4, find when = find when = 6. x y y x –3. 14. If = when = , find when = 2. y –4 x x y
11-1 Skills Practice Inverse Variation Determine whether each table or equation represents an inverse or a direct variation. Explain. x y 0.5 8 1 4 2 2 4 1 1 2. xy = 3. –2x + y = 0 Assume that y varies inversely as x. an inverse variation equation that relates x and y. Then graph the equation. 4. y = 2 when x = 5 5. y = –6 when x = –6 6. y = –4 when x = –12 7. y = 15 when x = 3 Solve. Assume that y varies inversely as x. 8. If y = 4 when x = 8, 9. If y = –7 when x = 3, find y when x = 2. find y when x = –3. 10. If y = –6 when x = –2, 11. If y = –24 when x = –3, find y when x = 4. find x when y = –6. 12. If y = 15 when x = 1, 13. If y = 48 when x = –4, find x when y = –3. find y when x = 6. 14. If y = –4 when x = , find x when y = 2.
11.1-Skills-Inverse-Variation.docx