Proportional and Nonproportional Functions

A relationship between two quantities in which the ratio of one quantity to the other quantity is constant and the graph of the relationship goes through (or begins) at the origin is called a (a)   .

• Proportional Relationship

• Nonlinear Relationship

• Nonproportional Relationship

• Linear Relationship

A proportional relationship can be described by an equation (y=kx) where k is a number called the (a)  

• Constant of Proportionality

• Unit Rate

• Y-Intercept

• Rise

An input-output relationship that has exactly one output for each input is called a _____.

A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant is called (a)   .

• Direct Variation

• Independent Variable

• Dependent Variable

• Function Notation

The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.

• The table is not proportional because the unit rate is not constant.

• The table is proportional and the unit rate is 1/13

• The table is proportional and the unit rate is 13.

• The table is not proportional because it doesn't pass through the origin.

A (a)   is a rate in which the second quantity in the comparison is one unit.

• Unit Rate

• Rate of Change

• Constant of Proportionality

• Bivariate Data

Can this equation be written in the form y=mx+b?

• Yes

• No

Can this equation be written in the form y=mx+b?

• Yes

• No

Is the relationship between x and y in y = 2x - 3 linear, nonlinear, proportional, or nonproportional?

• Linear and proportional

• Linear and nonproportional

• Nonlinear and proportional

• Nonlinear and nonproportional

The relationship between x and y in y = x ² - 1 is

• Linear and Proportional

• Linear and Nonproportional

• Nonlinear and proportional

• Nonlinear and nonproportional