Direct and Inverse Variation

The y value is 4 when x is 4; the two variables vary inversely. Write an equation to represent this relationship.

y is inversely proportional to x and y is 5 when x is 4. Formulate an equation representing this relationship.

x and y vary directly. Write an equation to represent their relationship if y = 6 when x = 3.

The graph of a function passes through the point (2, 5). If y is directly proportional to x, write an equation relating x and y.

Formulate a function representing the relationship between x and y if y varies directly as x and y = 2 when x = 4.

If x and y vary inversely and y = 20 when x = 6, write a function to represent the relationship between the two variables.

The graph of a function passes through the point (6, 1.5). If y varies directly as x, write a function relating x and y.