Variation. Direct Variation if there is some nonzero constant k such that k is called the constant of variation.

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Presentation transcript:

Variation

Direct Variation if there is some nonzero constant k such that k is called the constant of variation

Direct Variation Examples 1)

Suppose y varies directly as x and y = 28 when x = 5. Find the constant of variation: Write an equation of the form

Use the equation to find the value of y when x = 3. If you are not asked to find the constant of variation, you can use a proportion. Proportion Solve for y

Increases.

Inverse Variation As one value increases the other value decreases and vice versa.

Inverse Variation Proportion

How do I determine whether it is Direct or Indirect Variation? How do I determine whether it is Direct or Indirect Variation?

Joint Variation One quantity varies directly as the product of two or more other quantities.

If y varies jointly as x and the cube of z and y = 16 when x = 4 and z =2, find y when x = - 8 and z = -3.

To sum up….. Direct, Inverse, Joint Variation