Proportional Tables

Front

What is a proportional table?

Back

A proportional table is a table that shows two quantities that are in a constant ratio or relationship. If one quantity increases, the other quantity increases in a consistent manner.

Front

How can you determine if a table is proportional?

Back

A table is proportional if the ratio of the two quantities remains constant for all pairs of values.

Front

What is the constant of proportionality?

Back

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

Front

If y = 9x, what is the constant of proportionality?

Back

9

Front

If a table has the pairs (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, because the ratio of y to x is always 3.

Front

If a table has the pairs (1, 2), (2, 5), and (3, 8), is it proportional?

Back

No, because the ratios are not constant.

Front

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

Back

A non-proportional table does not maintain a constant ratio between the two quantities.

Front

In the equation y = 5x, what does 5 represent?

Back

5 is the constant of proportionality.

Front

If the constant of proportionality is 4, what is the value of y when x = 3?

Back

y = 4 * 3 = 12.

Front

What is the relationship between proportionality and linear equations?

Back

Proportionality can be represented by linear equations in the form y = kx, where k is the constant of proportionality.