Enter the Y value (dependent variable) and the X value (independent variable) into the calculator to determine the variation constant. This calculator helps in finding the constant of proportionality in direct or inverse variation problems.
Variation Constant Formula
The following formula is used to calculate the variation constant.
k = Y / X
Variables:
- k is the variation constant
- Y is the value of the dependent variable
- X is the value of the independent variable
To calculate the variation constant, divide the value of the dependent variable (Y) by the value of the independent variable (X).
What is a Variation Constant?
The variation constant, often denoted as k, is a number that relates two variables that are directly proportional or inversely proportional to each other. In direct variation, as one variable increases, the other variable increases at a constant rate. In inverse variation, as one variable increases, the other variable decreases at a constant rate. The constant of variation is a fundamental concept in algebra and is used to solve various types of variation problems.
How to Calculate Variation Constant?
The following steps outline how to calculate the Variation Constant.
- First, determine the value of the dependent variable (Y).
- Next, determine the value of the independent variable (X).
- Next, gather the formula from above = k = Y / X.
- Finally, calculate the Variation Constant (k).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
dependent variable (Y) = 50
independent variable (X) = 10
