Proportional or not

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if a fee includes a base charge plus a variable charge, it is non-proportional.

Front

What is the constant of proportionality in the equation y = 14x?

Back

The constant of proportionality is 14.

Front

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

Back

A table represents a proportional relationship if the ratios (y/x) for all pairs of values are equal.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What does a graph of a non-proportional relationship look like?

Back

A graph of a non-proportional relationship may be a straight line that does not pass through the origin or a curve.

Front

Give an example of a proportional relationship in real life.

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

Front

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is a taxi fare that includes a base fee plus a charge per mile.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What is the significance of the y-intercept in a non-proportional relationship?

Back

In a non-proportional relationship, the y-intercept represents the fixed amount that is added to the variable part of the relationship.