Direct and Inverse Variation - Loudoun County Public …

Direct , JOINT, AND Inverse Variation Direct Variation A linear equation of the form y=kx with k!0is called Direct Variation . The variable y varies directly with the variable x. In other words, the variables change at the same rate: If the value of one variable doubles, the value of other variable doubles, if one value triples, the other triples. The graph is a line passing through the origin with slope k. In this case the slope is also called the constant of Variation . Example 1 The amount of money spent at the gas station varies directly with the number of gallons purchased. When gallons of gas was purchased the cost was $ Determine k, the constant of Variation and the equation that represents this situation. If y= the total cost and x= number of gallons, the general equation is y=kx. Substitute the given values and solve. y=kx ( ) k= The equation is y= Example 2 The number of bricks laid varies directly with the amount of time spent.

DIRECT, JOINT, AND INVERSE VARIATION DIRECT VARIATION A linear equation of the form y=kx with k!0 is called direct variation. The variable y varies directly with the variable x.In other words, the variables change at the same rate: If the value of one variable doubles,

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