Identifying Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities in the equation y = kx.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where y is directly proportional to x.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the equation used to determine proportional relationships?

Back

The equation used to determine proportional relationships is y = kx.

Front

If g = 1/4w, what is the constant of proportionality?

Back

The constant of proportionality is k = 1/4.

Front

Does the equation y = 3x represent a proportional relationship?

Back

Yes, y = 3x represents a proportional relationship with a constant of proportionality k = 3.

Front

What does it mean if an equation is not proportional?

Back

If an equation is not proportional, it means that the relationship between the variables does not maintain a constant ratio.

Front

Is the equation y = (3/5)x^2 proportional?

Back

No, the equation y = (3/5)x^2 is not proportional because it involves x squared.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.