Proportional Relationships Equations (HW #12)

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 quantity is constant.

Front

What is the constant of proportionality?

Back

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

Front

How do you write an equation for a proportional relationship given a table of values?

Back

To write an equation for a proportional relationship from a table, identify the constant of proportionality (k) by dividing the y-values by the corresponding x-values, then express it in the form y = kx.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation where y varies directly with x, with k being the constant of proportionality.

Front

If the constant of proportionality is 5, what is the equation of the proportional relationship?

Back

The equation of the proportional relationship would be y = 5x.

Front

How can you determine the constant of proportionality from an equation?

Back

In an equation of the form y = kx, the constant of proportionality is the coefficient k.

Front

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

Back

In a graph of a proportional relationship, the slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

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 is the equation for a proportional relationship if the constant of proportionality is 2.5?

Back

The equation would be y = 2.5x.

Front

What is the relationship between the variables in the equation c = 18.50d?

Back

In the equation c = 18.50d, c is directly proportional to d, with 18.50 being the constant of proportionality.