Math 7/Accelerated Bell Ringer - Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

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 for any pair of values.

Front

What does a constant of proportionality of 75 mean in a relationship?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 75 units.

Front

If the constant of proportionality is represented as k = 2, what does this imply?

Back

It implies that the relationship between the two variables is linear, and for every unit increase in x, y increases by 2.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a quantity per one unit of the other quantity.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

What is the constant of proportionality in the equation y = 16x?

Back

The constant of proportionality is 16.

Front

If a graph passes through the origin, what can be said about the relationship?

Back

If a graph passes through the origin, it indicates that the relationship is proportional.

Front

What does a constant of proportionality of 1/16 indicate?

Back

It indicates that for every 16 units of the independent variable, the dependent variable increases by 1 unit.

Front

How do you express a constant of proportionality in a word problem?

Back

Identify the two quantities involved and find the ratio of the dependent variable to the independent variable.