aim #7.1: what is the difference between direct and inverse variation? the equation y =ax represents...
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Extra Example 1:TRANSCRIPT
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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.
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Example 1: Classifying Equations
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Extra Example 1:
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Check for Understanding 1:
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Direct vs. Inverse
– Direct variation:– A set of ordered pairs (x, y)
show direct variation when the ratios are constant.
– Inverse Variation:– For inverse the equation y=
can be rewritten as xy=a.– So when the products of the
ordered pairs xy=a is constant then the data is an
example of inverse variation.
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Example 2: Is it direct or Inverse?
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Extra Example 2:
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Check for Understanding 2:
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Example 3: Writing Inverse Variation Equations
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Extra Example 3:
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Check for Understanding 3:
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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?
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HOMEWORK: Text p. 363 prob 3 - 24