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, defined as k = y/x.

Front

If y = 4x, what is the constant of proportionality?

Back

k = 4.

Front

Identify the constant of proportionality in the equation y = 1/2 x.

Back

k = 1/2.

Front

What does it mean if the constant of proportionality is negative?

Back

A negative constant of proportionality indicates an inverse relationship between the two variables.

Front

If k = 30, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 30 units.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratio is constant.

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 the constant of proportionality is k = 1.50, what is the relationship between x and y?

Back

For every unit increase in x, y increases by 1.50 units.

Front

What does it mean if there is 'none (not proportional)' as an option?

Back

It means that the two quantities do not have a constant ratio and are not proportional.

Front

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

Back

k = 2.