Unit D: Graphing

Practice


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  1. Does the table of values represent direct variation? If so, explain and state the rate of change.

    x y
    0 0
    1 7
    2 14
    3 21
    4 28


  2. Does the table of values represent direct variation? If so, explain and state the rate of change.

    x y
    0 0
    1 2
    2 5
    3 7
    4 10

    Does the table of values represent direct variation? If so, explain and state the rate of change.

    x y
    0 0
    1 7
    2 14
    3 21
    4 28







    Yes, the table of values represents a direct variation relationship. When the x-value increases by 1, the y-value increases by 7.

    Each value of x is multiplied by a factor of 7 to produce each y-value.

    x y
    0 0 0 × 7 = 0
    1 7 1 × 7 = 7
    2 14 2 × 7 = 14
    3 21 3 × 7 = 21
    4 28 4 × 7 = 28

    The constant factor, or rate of change, is 7.
    Does the table of values represent direct variation? If so, explain and state the rate of change.

    x y
    0 0
    1 2
    2 5
    3 7
    4 10






    When the x-value increases by 1, the y-value increases by 2 or 3.

    Since the x-values are not multiplied by the same factor to produce the y-values, this set of data does not have a direct variation relationship.