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, often represented as y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

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

Back

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

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratios are not constant, meaning they do not maintain a consistent relationship.

Front

Write the equation for the proportional relationship where the constant of proportionality is 5.

Back

y = 5x.

Front

If x = 4 and y = 12 in a proportional relationship, what is the constant of proportionality?

Back

The constant of proportionality is 3 (since 12/4 = 3).

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (3).

Front

What is the equation for a proportional relationship if the constant of proportionality is 8?

Back

y = 8x.