Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as k = y/x.

Front

How can you identify a proportional relationship in a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does it mean if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Front

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

Back

The constant of proportionality is 3.

Front

Which equation can be used to find the constant of proportionality?

Back

k = y/x.

Front

What is the constant of proportionality if y = 8 when x = 1?

Back

The constant of proportionality is 8.

Front

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

Back

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

Front

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

Back

The constant of proportionality is 2.

Front

If k = 5, what does this imply about the relationship between x and y?

Back

It implies that y = 5x, indicating a proportional relationship.

Front

What is the constant of proportionality if y = 1/4 when x = 1?

Back

The constant of proportionality is 1/4.