Inverse Variations

The inverse variation is a relationship between two variables in which the final product is constant (a term or expression with no variables). As I said before as one value of one variable increases the other one decreases at the same time and in same proportion. The relationship is expressed as y=k/x. For example imagine that k=60. Y=60/X, so the table that expresses it would be:
X Y
3 20
6 10
12 5

And it would go on producing in a coordinate graph a line that is not straight but is curved. When the value of x is doubles the value of y is divided in half, making them to be opposite. One increasing and the other decreasing with a particular pattern. Another way to express the relationship of the inverse variations is to write it as: xy= k.

In problems that are such as: In a kick boxing test is evident that force=f needed to break a board varies with the lenght of the board= l. If it takes 5 lbs. of pressure to break a board of 2 ft. long, how many pounds would it take to break a 6 ft. long board?