Mathematics

Grade10

Easy

Question

# Does the table of values represent an inverse variation?

Hint:

### In mathematics, inverse variation refers to the relationships between variables expressed as y = k/x, where x and y are two variables and k is a constant. According to this statement, if the value of one item rises, the value of the other quantity falls. Here we have given the table and we have to fins whether values represent an inverse variation.

## The correct answer is: Yes

### In contrast to direct variation, when changes in one quantity cause changes in another immediately, in inverse variation, the first quantity changes in the opposite direction of the other. Therefore, the relationship between the first and second quantities is inverse.

If x and y are two variables, then according to the inverse variation:

y = k/x *or* xy = k

Here we have given the table which has certain values. In order to find inverse variation, lets multiply x and y, we get:.

xy:

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

So here we can see that the products remain constant. So, it is an inverse variation.

Here we understood the concept of inverse variation with an example. It is basically the mathematical relationship between two variables that can be expressed by an equation in which the product of two variables is equal to a constant. So here in this table, we can see that the products remain constant. So, it is an inverse variation.