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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values (y/x) are constant.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that the relationship is proportional.

Front

Write the equation for a proportional relationship with a constant of proportionality of 3.

Back

y = 3x

Front

What is the difference between proportional and nonproportional relationships?

Back

Proportional relationships have a constant ratio and pass through the origin, while nonproportional relationships do not.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

How do you determine if a linear relationship is proportional?

Back

A linear relationship is proportional if it is a straight line that passes through the origin.

Front

What is the equation for the proportional relationship represented by the table: (1,2), (2,4), (3,6)?

Back

y = 2x

Front

If a graph is linear but does not pass through the origin, is it proportional?

Back

No, if a graph is linear but does not pass through the origin, it is not proportional.