Constant of proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

If y is directly proportional to x, what does that mean?

Back

It means that as x increases or decreases, y changes at a constant rate, represented by the constant of proportionality.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

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

Back

For every unit increase in x, y increases by 2 units.

Front

What does a constant of proportionality of 1/2 indicate?

Back

It indicates that for every 2 units of x, y increases by 1 unit.

Front

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

Back

The constant of proportionality is 3.

Front

In a proportional relationship, if x = 4 and y = 12, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 12/4 = 3.

Front

What happens to the constant of proportionality if both x and y are multiplied by the same number?

Back

The constant of proportionality remains the same.

Front

If the constant of proportionality is 15, what is the value of y when x = 2?

Back

y = 15 * 2 = 30.