Review Proportional Relationships Tables, Graphs & Equaitons

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 identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are the same.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

Write the equation for a proportional relationship given the constant of proportionality k = 3.

Back

y = 3x

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity per one unit of another quantity.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

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

Back

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

Front

What is the equation of a line that passes through the origin with a slope of 5?

Back

y = 5x

Front

Explain the significance of the point (0,0) in a proportional relationship graph.

Back

The point (0,0) indicates that when there is no input (x=0), the output (y) is also zero, which is a characteristic of proportional relationships.

Front

What does it mean if a relationship is nonproportional?

Back

A nonproportional relationship means that the ratio between the two quantities is not constant.