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

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant. This can be verified by checking if the graph of the relationship is a straight line that passes through the origin.

Front

Write the equation for a proportional relationship where the constant of proportionality is 5.

Back

y = 5x

Front

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

Back

The constant of proportionality is 3.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship between y and x, where k is the constant of proportionality.

Front

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

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values. If the ratio is constant for all pairs, then the relationship is proportional.

Front

What is the constant of proportionality if y = 12 when x = 4?

Back

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

Front

Is the relationship represented by the equation y = 7x proportional?

Back

Yes, the relationship is proportional with a constant of proportionality of 7.

Front

If a table shows the values (2, 4), (3, 6), and (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each y value is twice the corresponding x value.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand the relationship between two quantities, such as speed, density, or cost per item, allowing for predictions and calculations.