Constant of Proportionality (KD)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, represented as 'k' in the equation y = kx.

Front

Write the equation for a proportional relationship where the constant of proportionality is 4.

Back

y = 4x

Front

If the constant of proportionality is k = 30, what does this mean in a real-world context?

Back

It means that for every 1 unit of the first quantity, the second quantity increases by 30 units.

Front

What must be true for a relationship to be considered proportional?

Back

The graph of the relationship must pass through the origin (0, 0) and have a constant ratio.

Front

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

Back

k = 1/2

Front

If k = -0.45, what does this indicate about the relationship between the two variables?

Back

It indicates an inverse relationship where as one variable increases, the other decreases.

Front

What does it mean if a graph does not start at the origin?

Back

It means the relationship is not proportional.

Front

If the constant of proportionality is k = 5, how would you express this in an equation?

Back

y = 5x

Front

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

Back

'k' represents the constant of proportionality.

Front

If a boat travels 45 miles for every 1 hour, what is the constant of proportionality?

Back

k = 45