Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

In the equation y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality, which indicates how much y changes for a unit change in x.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

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

Back

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

Front

What is the equation of a proportional relationship if the constant of proportionality is 14?

Back

The equation is y = 14x.

Front

If k = -0.45, what does this indicate about the relationship between x and y?

Back

This indicates that y decreases as x increases, showing an inverse relationship.

Front

What does it mean if there is no constant of proportionality?

Back

It means that the relationship between the variables is not proportional, and cannot be expressed in the form y = kx.

Front

If the constant of proportionality is 2, what is the equation of the proportional relationship?

Back

The equation is y = 2x.

Front

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

Back

The constant of proportionality is equal to the slope of the line in a graph of a proportional relationship.

Front

If y = 12x, what is the value of y when x = 3?

Back

y = 12 * 3 = 36.