Vocabulary - Chapter 6 - Variation and Formulas

Relationship: In mathematics a relationship is a connection between two variables; changing the value or one of the variables changes the value of the other

Variable: Lette 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 origin (0,0)

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 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 and y with the form y=kx + F where k is the constant of variation and F is a fixed number. A partial variation may be represented by a 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 puchased

Vertical Intercept: The value where a graph touches or crosses the vertical axis

Direct Squared Variation: A relationship between two variables which can be written in the form y=kx squared where k is the constant. The shape of a graph showing this variation will be curved. The curve will begin at the origin

Varies directly as the square: Y varies directly as the square of x gives the formula y=kx squared with the constant of variation, k.

Inverese Variation: A relationship between two variables which can be written in the form y= k divided by x where k is a constant. A graph showing this variation decreases as you move to the right along the horizontal axis