Constants of Proportionality

Front

What is a constant of proportionality?

Back

A constant of proportionality is a constant ratio between two variables in a proportional relationship, often represented as k in the equation 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 the equation y = kx represent?

Back

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

Front

Which of the following equations is proportional: y = 3x or y = 3x + 2?

Back

y = 3x is proportional; y = 3x + 2 is not proportional because it does not pass through the origin.

Front

If the constant of proportionality k = 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

What is the constant of proportionality for the equation y = 1/2x?

Back

The constant of proportionality is k = 1/2.

Front

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

Back

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

Front

What is the constant of proportionality if y = 10 when x = 2?

Back

k = y/x = 10/2 = 5.

Front

Which graph represents a non-proportional relationship?

Back

A graph that does not pass through the origin or has a curved line represents a non-proportional relationship.

Front

If a table shows the values (2, 8), (4, 16), (6, 24), what is the constant of proportionality?

Back

k = 8/2 = 4; the constant of proportionality is 4.