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

How can you identify if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant ratio between two proportional quantities, often represented as k = y/x.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

If an equation does not represent a proportional relationship, it means that the ratio of y to x is not constant.

Front

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

Back

To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the origin (0,0) signifies that when one quantity is zero, the other quantity is also zero.

Front

Can a proportional relationship be represented by a nonlinear graph?

Back

No, a proportional relationship cannot be represented by a nonlinear graph; it must be a straight line through the origin.

Front

What is the formula to find the constant of proportionality (k)?

Back

The formula to find the constant of proportionality is k = y/x.

Front

How do you verify if a set of points forms a proportional relationship?

Back

To verify if a set of points forms a proportional relationship, check if the ratios of y to x for all points are equal.