Definitions of the Day (DODs) 11.1 – Inverse Variation (Please have a calculator) Inverse Variation Constant Of Variation.

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Presentation transcript:

Definitions of the Day (DODs) 11.1 – Inverse Variation (Please have a calculator) Inverse Variation Constant Of Variation

Definition: An Inverse Variation is a function that can be written in the form: Definition: The Constant of Variation k; equals the Product of the quantities (usually x · y) for the described variation. NOTE! THE GRAPH OF AN INVERSE VARIATION WILL BE A CURVE, NOT A LINE.

An Example of Inverse Variation: Suppose Nemo wants to replace his broken iPod. A new one costs $400 and he will have to work to earn the money to buy it. X Values Hourly wage Y Values Number of hours he has to work Constant of Variation:

Comparing Direct and Inverse Variation Direct variationInverse Variation - y varies directly with x- y varies inversely with x - The ratio y/x is constant- the product (xy) is constant

For each table, tell whether y varies inversely with x. If it does, write a function rule for the relationship shown by the data. XYX·Y XYX·Y

Each pair of points is from an Inverse Variation. Find the missing value. Remember: With Inverse Variation, the product (xy) is constant

Your Turn! Decide if each is an Inverse Variation, Direct Variation, or neither XY

Sentence Frames 1.The graph of an Inverse Variation will always be a ______________. 2.The _____ represents the Constant of Variation in the equation y = k/x. 3.The ________ of the x and y values of an inverse variation is a constant.