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 the ratio of one quantity to another.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is k = 3.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

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

Back

Yes, it is proportional with a constant of proportionality k = 3.

Front

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

Back

The constant of proportionality is k = 2.

Front

If a relationship is not proportional, what can we say about the constant of proportionality?

Back

If a relationship is not proportional, the constant of proportionality does not exist or is undefined.

Front

How can you find the constant of proportionality from a graph?

Back

You can find the constant of proportionality by determining the slope of the line, which represents the ratio of y to x.

Front

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

Back

The constant of proportionality is k = 5.