Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation where 'k' is the constant of proportionality.

Front

If 100 is earned for each hour worked, what is the constant of proportionality?

Back

The constant of proportionality is 100.

Front

What does the term 'unit rate' mean?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the unit rate if $500 is earned for every 8 hours worked?

Back

The unit rate is $62.50 per hour.

Front

What does 'k' represent in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality, which is the factor by which x is multiplied to get y.

Front

If a table shows values (3, 9), (6, 18), and (9, 27), is this a proportional relationship?

Back

Yes, this is a proportional relationship with a constant of proportionality of 3.

Front

What is the equation for a relationship where $18.50 is earned for each hour worked?

Back

The equation is y = 18.50x.