Direct variation :
Two variables x and y show direct variation when
y = ax
for some nonzero constant a.
Another type of variation is called inverse variation.
Inverse variation :
Two variables x and y show inverse variation when they are related as follows:
y = a/x, a ≠ 0
The constant a is the constant of variation, and y is said to vary inversely with x.
To check if the table represents direct or inverse variation, we have to consider the following.
Check whether it is direct variation :
Check whether it is inverse variation :
Tell whether x and y show direct variation, inverse variation, or neither.
Problem 1 :
Solution:
Finding the product of x and y :
The product of x and y is not a constant.
Finding the ratio of y to x :
The ratio between y to x is constant. So, the table represents inverse variation.
Problem 2 :
Solution:
Finding the product of x and y :
The product of x and y is not a constant.
Finding the ratio of y to x :
The ratio between y to x is constant. So, the table represents inverse variation.
Problem 3 :
Solution:
Finding the product of x and y :
The product of x and y is constant.
Finding the ratio between y to x :
The ratio between y to x is not constant. So, it is direct variation.
Problem 4 :
Solution:
Finding the product of x and y :
The product of x and y is not constant.
Finding the ratio of y t ox :
The ratio of y to x is not constant. So, the table represents the neither relationship.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM