Identify and Analyze Proportional Relationships

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, expressed as y = kx.

Front

How do you identify a proportional relationship from a table?

Back

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

Front

What is the equation of a proportional relationship?

Back

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

Front

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

Back

The constant of proportionality is 4.

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 the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that as x increases, y increases at a faster rate.

Front

What does it mean if the constant of proportionality is less than 1?

Back

If the constant of proportionality is less than 1, it means that as x increases, y increases at a slower rate.

Front

Write the equation for the proportional relationship represented by the table: (x: 1, 2, 3; y: 2, 4, 6)

Back

y = 2x.

Front

What is the constant of proportionality for the relationship y = 5x?

Back

The constant of proportionality is 5.