Variation

• Variation is a relationship between two variables in such a way that as one increases or decreases the other quantity also increases or decreases in a definite way is called variation.
• Types of variation

  • Direct variation
  • Inverse variation
  • Joint variation
  • Combined variation
• Direct Variation is a variation in which the quotient of the two variable is constant.
• K is called the constant of variation or constant of proportionality
• mathematical equations of direct variation

  y = kx or y/x = k
• Inverse variation is a variation, which states that the product of two quantities is constant.
• mathematical equation of inverse variation is y=k/x or xy=k
• inverse variation can also be called a proportion called indirect proportion
• Joint variation is a variation where a quantity varies as the product of two or more other quantities.
• Mathematical equation for joint variation : z = kxy or z/xy = k
• Joint variation is the same as direct only that it has 3 variables
• Combined variation is a variation that involves a combination of direct and inverse variations or joint variation and inverse variation.
• mathematical equation of combined variation: y = kx/z or k = yz/x