Does the relationship in the table represent direct variation, inverse variation, or neither? If it is direct of inverse variation, write an equation to represent the relation. Explain your answer. x = 5, 10, 15, 20

y = 2, 1, 1/3, 1/2

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Connexus

The relationship in the table represents neither direct variation or inverse variation

Step-by-step explanation:

The table data are;

x = 5, 10, 15, 20

y = 2, 1, 1/3, 1/2

For a direct variation, we have;

y = k × x

Where;

k = A constant

Therefore;

k = y/x = constant for a direct variation

From the data, we have the following y/x values at each data point;

5/2 = 2.5

10/1 = 10

15/(1/3) = 45

20/(1/2) = 40

Therefore, y/x is not constant for the given data, therefore, the relationship in the table is not a direct variation

For an inverse variation, we have;

y·x = k (A constant)

The product of the 'x' and 'y' variables are given as follows;

5 × 2 = 10

10 × 1 = 10

15 × 1/3 = 5

20 × 1/2 = 10

The value of x × y is not always constant, therefore, therefore the relation in the table does not represent an inverse relation

Therefore, the relationship in the table represents neither direct variation or inverse variation

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees