definition- variation and formulas

relationship- in mathematics a relationship is a connection between two variable, changing the value of one of the variables changes the value of the other

variable- letter or symbol used to represent a quantity that can change

variation- a relationship between two variables which can be expressed as a formula a table of values or as a graph

direct variation- the relationship between two variables x and y with the form y=kx where k is a constant. a direct variation may be represented by a straight line graph which passes through the orgin.

constant of variation- the value of k in the direct variation formula y=kx. k is equal to the slope of the line when the variation is graphed

directly proportional- means the same as the varies directly

y varies directly as x- gives the formula y=kx for variation constant k

fixed cost- a cost that remains constant

partial variation- the relationship between two variables x an y with the form y=kx+f where k is the constant of variation and f is a fixed number. partial variation may be represented by straight line graph with slope k and which passes through the point(0,f)

variable cost- a cost that changes depending upon the amount of goods purchased

direct squared variation- a relationship between two variables which can be written in the form y=kx sq. where k is a constant. the shape of a graph showing variation will be curved the curve will begin at the orgin.

varies directly as the square- y varies directly as the square of x gives the formula y=kx sq. with constant of variaton,k

inverse variation- a relationship between two variables which can be written in the form y=k/x where k is a consant a graph showing this variation decreases as you move to the right along the horizontal axis.