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

2.56 is the width of the garden

step-by-step explanation: