Additive Relationship

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Presentation transcript:

Additive Relationship

Additive Relationship Additive Relationship is a relationship among a set of ordered pairs in which the same value is added to each “X-” value to find the corresponding “Y” value.

Additive Relationship

Additive Relationship Does the rule “Y = Ax” represent the Additive Relationship? Does the graph of “Y=X+A” represent the Additive Relationship? Is the Rule: Y=3/2x and example of an Additive Relationship?

Multiplicative Relationship

Multiplicative Relationship Multiplicative relationship is a relationship among a set of ordered pairs in which each x-value is multiplied by the same factor to find each corresponding y-value.

Multiplicative Relationship Multiplicative relationship is a theme within ratio and proportional reasoning.

Multiplicative/Additive Relationships

Multiplicative Relationship In the following table does the ratio 2/3 describe a multiplicative comparison of y to x? x 9 15 24 39 y 6 10 16 26

Dependent Quantity Dependent Quantity is a quantity whose value is determined by the value of the related independent quantity.

Dependent Quantity

Dependent Quantity The dependent quantity on a graph is represented by the y-axis.

In the ordered pair (-3, 4) is the -3 the dependent quantity? On a coordinate grid, the horizontal axis represents the dependent quantity? On the coordinate grid, the vertical axis represents the dependent quantity?

Independent Quantities

Independent Quantities Independent quantity is a quantity whose value determines that of a dependent quantity.

Independent Quantities

Independent Quantities The independent quantity on a graph is represented by the X –axis on a coordinate grid.

Independent Quantities In the ordered pair (-3, 4) is the -3 the independent quantity? On a coordinate grid, the horizontal axis represents the independent quantity? On the coordinate grid, the vertical axis represents the independent quantity?

Input – Output Table

Input – Output Table An input output table is a table of values that follows a rule; used to show the pattern in “X-” Values and their corresponding “Y-” Values

Input – Output Table

The Output of a table varies depending on the values of the input. Input – Output Table The Output of a table varies depending on the values of the input.

Constant

Constant The Constant is a number that does not vary; for example, in the expression “X+5”, 5 is a constant.

Constant

Constant In the expression 5x is 5 a constant? In the expression 3y+2, is 2 a constant? Can a constant be represented by a letter?

Coordinate Plane The plane determined by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, intersecting at a point called the origin. Each point in the coordinate plane can be specified by an ordered pair of numbers.

linear Linear equation is the equation for the straight line in which each term is the constant or product of a constant.

y-intercept The value where a straight line crosses the Y axis of a graph.