Constant of proportionality

Front

What is the definition of the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, indicating how much one quantity changes in relation to another.

Front

How do you find the constant of proportionality in a proportional relationship?

Back

To find the constant of proportionality, divide one quantity by the other (y/x) in a proportional relationship.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the constant of proportionality if y = 20 when x = 4?

Back

The constant of proportionality is 5, calculated as 20/4.

Front

If the constant of proportionality is 3, what is the value of y when x = 10?

Back

If the constant of proportionality is 3, then y = 3 * 10 = 30.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant factor that relates the two variables.

Front

How does the constant of proportionality affect the graph of a proportional relationship?

Back

The constant of proportionality affects the slope of the line in a graph of a proportional relationship; a larger constant results in a steeper slope.

Front

What is the constant of proportionality if y = 15 when x = 3?

Back

The constant of proportionality is 5, calculated as 15/3.

Front

Can the constant of proportionality be negative?

Back

Yes, the constant of proportionality can be negative, indicating an inverse relationship between the two quantities.

Front

What is the constant of proportionality if y = 8 when x = 2?

Back

The constant of proportionality is 4, calculated as 8/2.