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, often represented as y = kx.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

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

Back

If a table represents a proportional relationship, the ratio of the values in one column to the corresponding values in another column is constant.

Front

Write the equation for a proportional relationship where the constant of proportionality is 4.

Back

y = 4x.

Front

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

Back

The constant of proportionality is 3.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a proportional relationship, the constant of proportionality is equal to the slope of the line on a graph.

Front

If a graph shows a line that does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it does not represent a proportional relationship.

Front

Determine the constant of proportionality if y = 9 when x = 1.

Back

The constant of proportionality is 9.

Front

What is the constant of proportionality if the ratio of y to x is 5?

Back

The constant of proportionality is 5.

Front

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

Back

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