Constant of Proportionality: Tables

Front

What is the constant of proportionality?

Back

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

Front

What does a constant of proportionality of 0.5 swings per day mean?

Back

It means that for every day, there are 0.5 swings, indicating a direct relationship where the number of swings increases by 0.5 for each additional day.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If y = 12x, what is the constant of proportionality?

Back

The constant of proportionality is 12.

Front

What does a non-proportional relationship mean?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How can you tell if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is typically written as y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 4 dollars per pound, how much would 3 pounds cost?

Back

It would cost 12 dollars (4 dollars/pound * 3 pounds).

Front

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

Back

The constant of proportionality helps to understand relationships between quantities, such as speed, density, and cost.