Direct variation

Direct variation

Lessons

Direct Variation:
yy varies directly with xx with a constant variation of kk

y=kxy = kx


where
kk \neq 0

  • 1.
    Identifying direct variations by table of values
    Do the following tables of values represent direct variation?

    Identifying direct variations by table of values

    Identifying direct variations by table of values

  • 2.
    Identifying direct variations
    Which of the following represent direct variation?

    A. yy = 2

    B. yy = 3.1xx

    C. y=7x9y = - \frac{7x}{9}

    D. xyxy = 191

    E. yy = 8xx + 5

  • 3.
    Variable yy varies directly with xx. Determine mm and nn
    Determine m and n

  • 4.
    If aa varies directly as bb, and bb = 4 when aa = 16, find aa when b=32b = \frac{3}{2}

  • 5.
    If the volume of an object varies directly as the cube of its height, and the volume equals 40ft3ft^{3} when the height is 2ftft, find the object's volume when its height equals 13ft\frac{1}{3} ft

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26.
Direct and Inverse Variation
26.1
Direct variation