Aim #7.1: What is the difference between direct and inverse variation? The equation y =ax represents direct variation between x and y. Y is said to vary.

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Presentation transcript:

Aim #7.1: What is the difference between direct and inverse variation? The equation y =ax represents direct variation between x and y. Y is said to vary directly with x. The constant a is called the constant of variation.

Example 1: Classifying Equations

Extra Example 1:

Check for Understanding 1:

Direct vs. Inverse – Direct variation: – A set of ordered pairs (x, y) show direct variation when the ratios are constant.

Example 2: Is it direct or Inverse?

Extra Example 2:

Check for Understanding 2:

Example 3: Writing Inverse Variation Equations

Extra Example 3:

Check for Understanding 3:

Summary: Answer in complete sentences. – What does the equation of direct variation look like? and inverse variation? – What does a represent? Given a table of data points- how do you determine if its inverse or direct variation?

HOMEWORK: Text p. 363 prob