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# 4.6 notes

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• S=aw like y varies directly with x
• C=as – c is dependent on s – s is the input, c is the output. Dividing each cost by the number of songs results in a consistent amount (.99)
• ### 4.6 notes

1. 1. 4.6 Write and graph direct variation equations
2. 2. Direct variation • Two variables x and y show direct variation provided y=ax and a does not equal zero. (y varies directly with x) • a is called the constant of variation – Example: y=5x • Any equation that can be rewritten as y=ax represents direct variation. – Example: 2x-3y=0
3. 3. Determine whether each equation represents direct variation and identify the constant of variation: • -x+y=1 • 2x+y=0 • 4x-5y=0
4. 4. Graphing direct variation equations
5. 5. Graph direct variation equations xy 3 2 = y x
6. 6. Graph direct variation equations xy 3−= y x
7. 7. Identify the constant of variation • y=ax – Substitute coordinates – Solve for a – Rewrite equation • What is y if x is 3? • What is y if x is 600? y x (-2, 4)
8. 8. Use direct variation s w
9. 9. Use direct variation
10. 10. Use direct variation