Proportional Graphs, Tables and Equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to determine the constant of proportionality.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What does it mean if the unit rate is not constant in a table?

Back

If the unit rate is not constant, it indicates that the relationship represented by the table is not proportional.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

How can you identify a proportional relationship from an equation?

Back

An equation represents a proportional relationship if it can be rearranged to the form y = kx, where k is a non-zero constant.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero.