Constant of Proportionality (Tables)

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

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant. This can be checked by creating a table of values and ensuring that the ratios are the same.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where y is directly proportional to x, and k is the constant of proportionality.

Front

If the constant of proportionality is 3, what is the value of y when x = 5?

Back

y = 3 * 5 = 15.

Front

What is the constant of proportionality for the table: (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2, as y = 2x.

Front

Which of the following is a proportional relationship: (1, 2), (2, 5), (3, 8)?

Back

This is not a proportional relationship because the ratios are not constant.

Front

What is the constant of proportionality for the table: (0, 0), (1, 4), (2, 8)?

Back

The constant of proportionality is 4, as y = 4x.

Front

If a table shows values (1, 3), (2, 6), (3, 9), what is the constant of proportionality?

Back

The constant of proportionality is 3, as y = 3x.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratio of y to x is not constant across the values.

Front

How can you express the constant of proportionality in a table format?

Back

You can express it by showing pairs of values (x, y) and calculating the ratio y/x for each pair.