Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?

Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?
x 2 4 8 12
y 4 2 1 2/3

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  1. Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

    Variation

    • Direct variation
    y = k × x
    4 = k × 2
    4 = 2k
    k = 4/2
    k = 2
    when y = 2 and x = 4
    y = k × x
    = 2 × 4
    y = 8
    • Indirect variation
    y = k/x
    4 = k / 2
    8 = k
    when y = 2 and x = 4
    y = k/x
    2 = k/4
    2 × 4 = k
    k = 8
    So,
    y = k/x
    y = 8/x
    Learn more about variation:
    #SPJ1

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