4.6
Write and graph direct variation
equations
Direct variation
• Two variables x and y show direct
variation provided y=ax and a does not
equal zero. (y varies directly...
Determine whether each equation
represents direct variation and
identify the constant of variation:
• -x+y=1
• 2x+y=0
• 4x...
Graphing direct variation equations
Graph direct variation equations
xy
3
2
=
y
x
Graph direct variation equations
xy 3−=
y
x
Identify the constant of variation
• y=ax
– Substitute coordinates
– Solve for a
– Rewrite equation
• What is y if x is 3?...
Use direct variation
s
w
Use direct variation
Use direct variation
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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

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