Constant of Proportionality (Tables)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

What does a proportional relationship look like in a table?

Back

In a proportional relationship, as one quantity increases, the other quantity increases at a constant rate, resulting in a straight line through the origin when graphed.

Front

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

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values in the table.

Front

What is the equation of a proportional relationship?

Back

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

Front

If y = 10 when x = 2, what is the constant of proportionality?

Back

The constant of proportionality (k) is 5, since 10/2 = 5.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between x and y; the graph does not pass through the origin.

Front

Which of the following represents a proportional relationship: y = 3x or y = x + 2?

Back

y = 3x represents a proportional relationship because it can be expressed in the form y = kx.

Front

What happens to the graph of a proportional relationship when the constant of proportionality increases?

Back

The graph becomes steeper as the constant of proportionality (k) increases.

Front

If the constant of proportionality is 1/3, what is the value of y when x = 9?

Back

When x = 9, y = (1/3) * 9 = 3.

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the origin (0,0) represents that when x is 0, y is also 0.