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Chapter 1 Section 4

Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

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Page 1: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

Chapter 1 Section 4

Page 2: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

Direct Variation and Proportion

Direct Variation:

The variable y varies directly as x if there is a nonzero constant k such that y = kx. The equation y = kx is called a direct-variation equation and the number k is called the constant of variation.

Examples:

1. Find the constant of variation k, and the direct variation equation if y varies directly as x and y = -24 and x = 4.

Page 3: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

Examples:

2. Find the constant of variation k, and the direct variation equation if y varies directly as x and y = 21 and x = 3.

Page 4: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that
Page 5: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

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Page 6: Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that

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