1. The table represents an inverse variation. Find the missing values.

    2. x y
    2   
       10
    5 6

    Interactive popup. Assistance may be required.

    Need a hint?

    Use the known pair of values for x and y to determine k, the constant of variation.Close Pop Up

    Interactive popup. Assistance may be required.

    Check Your Answer

    1. First, find k using the third pair: 5 × 6 = 30.

    2. The first and second pair has to equal 30.

      • 2 × __ = 30 ⇒ 30 ÷ 2 = 15

      • __ × 10 = 30 ⇒ 30 ÷ 10 = 3
    Close Pop Up

  2. Which of the tables below represent a relationship that is an inverse variation? Select all that apply. For the tables that represent an inverse variation, identify the constant of variation, k.

    3.
    Table 1
    x y
    3 12
    4 9
    6 6
    9 4
    Table 2
    x y
    3 8
    4 6
    5 5
    6 4
    Table 3
    x y
    5 2.5
    10 12.5
    12 1.05
    25 0.5
    Table 4
    x y
    2 4.8
    3 3.2
    4 2.4
    6 1.6

    Interactive popup. Assistance may be required.

    Need a hint?

    An inverse variation relationship has a constant of proportionality, k, such that the product of xy for each pair of values for x and y is the same.Close Pop Up

    Interactive popup. Assistance may be required.

    Check Your Answer

    Table 1 (k = 36)

    Table 4 (k = 9.6) Close Pop Up