Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented by 'k'. It remains constant as the values change.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a unit change in x.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

How can you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin.

Front

What is the constant of proportionality for the graph with points (1, 2), (2, 4), (3, 6)?

Back

The constant of proportionality is 2.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Front

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

Back

y = 3 * 4 = 12.

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that as one quantity increases, the other quantity increases at a faster rate.