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. It is found by dividing one quantity by the other.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the two quantities is constant for all pairs of values.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

The constant of proportionality is 3.

Front

What does a proportional graph look like?

Back

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

Front

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

Back

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

Front

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

Back

The constant of proportionality is 5.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Front

If the constant of proportionality is 1/2, what is the relationship between x and y?

Back

y = (1/2)x.

Front

What is the constant of proportionality for the table: (1, 4), (2, 8), (3, 12)?

Back

The constant of proportionality is 4.