Direct, Inverse & Joint Variation. Direct Variation The variables x & y vary directly: Direct  Divide BIGGER.

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Presentation transcript:

Direct, Inverse & Joint Variation

Direct Variation The variables x & y vary directly: Direct  Divide BIGGER

Direct Variation The variables x & y vary directly. Write an equation that relates x and y if x = 6 when y = 8. Then find x when y = 12.

Inverse Variation The variables x & y vary inversely: Inverse  Multiply BIGGER SMALLER

Direct Variation The variables x & y vary inversely. Write an equation that relates x and y if x = 3 when y = 12. Then find y when x = 9.

Determine whether x and y show direct variation, inverse variation, or neither. xy DirectInverse

Determine whether x and y show direct variation, inverse variation, or neither. xy DirectInverse

Determine whether x and y show direct variation, inverse variation, or neither. xy DirectInverse NEITHER

Joint Variation The variable x varies jointly with y and z: directly

Joint Variation The variable z varies jointly with x & y. Write an equation that relates x, y, and z if x = 3, y = 7 and z = 8. Then find z when x = 9 and y = 4.

Write an equation for the relationship: y varies directly with x and inversely with z.

Write an equation for the relationship: a varies inversely with b and jointly with c and d.

Write an equation for the relationship: a varies directly with b and jointly with c and d.