IN MATH: 1. adv. the way in which change occurs. These ways include (where k is a constant and other letters are variables): direct variation, inverse variation, and joint variation, and combinations of these.

Two varibles change in the same manner. If one gets larger, the other gets larger. If one gets smaller the other gets smaller. EX. The more boxes (x) you put in the holder, the heavier (y) the holder gets.

Two variables change in reverse manners; one varies directly with the reciprocal of the other. If one gets larger, the other gets smaller. If one gets smaller the other gets larger.

One variable changes as the product of 2 or more variables. EX. The volume of a rectangular solid varies jointly with the solid's length, width, and height.

APPLICATION: See list 350.

Write an equation.

1. The circumference of a circle varies directly with the diameter. Pi, , is the constant of variation.

2. A varies inversely with x.

3. A varies directly with x and inversely with the square of z.

4. Y varies directly with x. The constant of variation is 0.4. When x is three, what's the value of y?

IN ENGLISH: 1. v. to change. 2. to change in a certain way. See VARIATION.

APPLICATION: See list 350.

  • - Algebra Notes

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