Proportional or NonProportional

Front

What does 'proportional' mean in mathematics?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

What does 'nonproportional' mean in mathematics?

Back

Two quantities are nonproportional if they do not maintain a constant ratio.

Front

Give an example of a proportional relationship.

Back

If you double the amount of ingredients in a recipe, the cooking time also doubles.

Front

Give an example of a nonproportional relationship.

Back

If you buy 3 apples for $2 and 5 apples for $3, the cost per apple changes.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin.

Front

How can you identify a nonproportional relationship from a graph?

Back

A nonproportional relationship will not pass through the origin or will not be a straight line.

Front

What is the constant of proportionality?

Back

It is the ratio of one quantity to another in a proportional relationship.

Front

If y is proportional to x, what is the equation that represents this relationship?

Back

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

Front

What is an example of a real-world proportional relationship?

Back

Speed is proportional to distance when time is constant.

Front

What is an example of a real-world nonproportional relationship?

Back

The cost of a taxi ride, which may have a base fare plus a charge per mile.