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 quantity is constant.

Front

If y is proportional to x, what is the general form of the equation?

Back

y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent in a proportional relationship?

Back

It represents the ratio between the two quantities.

Front

How do you determine if two quantities are in a proportional relationship?

Back

Two quantities are in a proportional relationship if their ratios are equivalent.

Front

What is the slope in a proportional relationship?

Back

The slope is the constant of proportionality, representing how much y changes for a unit change in x.

Front

What does a slope of 5 mean in a proportional relationship?

Back

It means that for every 1 unit increase in x, y increases by 5 units.

Front

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

Back

The graph of a proportional relationship passes through the origin (0,0), indicating that when x is 0, y is also 0.

Front

If a graph of a proportional relationship is a straight line, what does that indicate?

Back

It indicates that the relationship between the two variables is linear and proportional.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the value of the constant of proportionality, representing the amount of y for one unit of x.

Front

How can you find the constant of proportionality from a table of values?

Back

Divide the value of y by the corresponding value of x for any pair of values.