Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which shows the ratio of y to x.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3.

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 quantities.

Front

If the constant of proportionality is k = 0.5, what does this imply?

Back

This implies that for every unit increase in x, y increases by half a unit.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratio is constant, meaning the constant of proportionality (k) remains the same.

Front

What is the constant of proportionality if y = 12 when x = 2?

Back

k = 12/2 = 6.

Front

If a graph shows a straight line through the origin, what can be said about the constant of proportionality?

Back

The constant of proportionality exists and can be calculated as the slope of the line.

Front

What does a constant of proportionality of k = 1 indicate?

Back

It indicates that y increases at the same rate as x; they are equal.

Front

If k = 4, what is the relationship between x and y?

Back

For every unit increase in x, y increases by 4 units.