Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It indicates how one quantity changes in relation to another.

Front

What does a constant of proportionality of 3 tiles per minute mean?

Back

It means that for every minute, 3 tiles are produced or used, indicating a consistent rate of change.

Front

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

Back

The constant of proportionality is 3.

Front

If the constant of proportionality is k = 1.50, what does this imply?

Back

It implies that for every unit increase in x, y increases by 1.50 units.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values; the result should be the same for all pairs if they are proportional.

Front

What is the significance of the constant of proportionality in real-life situations?

Back

It helps to understand rates, such as speed, density, and cost per item, allowing for predictions and comparisons.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 2/3, indicating the ratio of flour to sugar.

Front

What does it mean if the constant of proportionality is not constant?

Back

It means the relationship between the two quantities is not proportional, and they do not maintain a consistent ratio.

Front

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

Back

'k' represents the constant of proportionality.