Answer:
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
