Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

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

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation between y and x, where k is the constant of proportionality.

Front

If y = 33x, what is the constant of proportionality?

Back

The constant of proportionality is 33.

Front

Which equation indicates a proportional relationship?

Back

y = kx indicates a proportional relationship.

Front

What is a proportional table?

Back

A proportional table shows pairs of numbers that maintain a constant ratio.

Front

How can you determine if a table is proportional?

Back

A table is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is an example of a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio, such as y = x + 2.

Front

What does it mean if a table is labeled as 'non-proportional'?

Back

It means that the values do not maintain a constant ratio between x and y.

Front

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

Back

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

Front

What is the significance of the constant k in the equation y = kx?

Back

The constant k represents the rate of change or the slope of the line in a proportional relationship.