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 quantity is constant.

Front

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

Back

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

Front

What is the constant of proportionality?

Back

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

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality.

Front

If y = 5x, what is the constant of proportionality?

Back

5

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not equal.

Front

Write an equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x

Front

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

Back

Yes, it is proportional because the ratios (y/x) are equal (3).

Front

What is the formula to find the constant of proportionality from a proportional relationship?

Back

k = y/x, where k is the constant of proportionality.

Front

If y = 10 when x = 2, what is the constant of proportionality?

Back

5