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26 February, 02:41

10. Is the relationship between the variables in the table a direct variation, an inverse variation,

both, or neither? If it is a direct or inverse variation, write a function to model it.

x 2 5 12 20

y 30 12 5 3

direct variation; y = 15x

60

inverse variation; y=

direct variation; y = 2x + 2

neither

X

+1
Answers (1)
  1. 26 February, 04:22
    0
    Step-by-step explanation:

    For direct variation, an increase or decrease in one variable would lead to a corresponding increase or decrease in the other variable.

    For inverse variation, an increase or decrease in one variable would lead to a corresponding decrease or increase in the other variable.

    From the given table, as the value of x is increasing, the value of y is decreasing. It means that it is an inverse variation.

    Assuming a constant of variation, k then,

    y = k/x

    k = yx

    When y = 30 and x = 2,

    k = 30 * 2 = 60

    Therefore, the function to model the inverse variation is

    y = 60/x
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