What is direct variation?

What is inverse variation?
Does the relation 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 Y
— —
5 2
10 1
15 2/3
20 1/2

1 answer

inverse variation ... X * Y = 10

Did you know?

Did you know that direct variation and inverse variation are types of mathematical relationships between two variables? In direct variation, as one variable increases, the other variable also increases or as one variable decreases, the other variable also decreases. On the other hand, in inverse variation, as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Looking at the table, we can see that as the value of X increases, the value of Y decreases. Therefore, the relation in the table represents inverse variation. To write an equation representing this relation, we can use the equation y = k/x, where k is a constant. By substituting the values from the table, we get the equation y = 2/5x. This equation shows the inverse variation between X and Y in the given table.