Math 7 Unit 4- Constant Rate of Proportionality
Ratio
A comparison of two quantities by division
Constant of Proportionality
A constant rate of two variables related proportionally Quantity x is proportional (directly) to another quantity y, then is written as y=kx, where k is called the Constant of Proportionality.
Unit Rate
A rate in which the second quantity in the comparison is ONE unit
Rate of Change
A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable ; can be represented with the variables k or m.
Linear Relationship
A relationship between two quantities in which one variable changes by a constant amount as the other variable changes by a constant amount
Proportional Relationship
A relationship between two quantities in which the ratio of one quantity to the other is constant
Constant
A value that does not change
Independent Variable
A variable (often written as x) whose value does not affect or depend on that of another
Dependent Variable
A variable (often written as y ) whose value depends on that of another.
Proportion
An equation that states that two ratios are equivalent
b
Represents the constant value in a non-proportional relationship, the point where the line crosses the y-axis
m
Represents the rate of change in a non-proportional relationship
k
Represents the rate of change in a proportional relationship
Y= mx + b
The equation used for Non-proportional Relationships
Coefficient
The number that is multiplied by the variable in an algebraic expression
Origin
the point where the x-axis and the y-axis in the coordinate plane intersect: (0,0)