Identifying Proportional Relationships

Front

What are the main characteristics of a proportional relationship between two variables?

Back

They are linear (straight line) and also pass through the origin.

Front

Is the graph proportional or non proportional if it is a straight line and passes through the origin (0,0)?

Back

Proportional because it is a straight line and passes through the origin (0,0).

Front

Does the table show a proportional relationship?

Back

Yes.

Front

Which of these could be a constant of proportionality: 20, 40, 2, 80?

Back

40.

Front

What is the constant of proportionality (in miles per hour) based on the table: 45, 90, 135, 2?

Back

45.

Front

What is a proportional relationship?

Back

A relationship where two quantities maintain a constant ratio.

Front

What does it mean for a graph to be linear?

Back

It means the graph forms a straight line.

Front

What is the constant of proportionality?

Back

The constant ratio between two proportional quantities.

Front

How can you determine if a relationship is proportional from a table of values?

Back

If the ratios of corresponding values are constant, it is proportional.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality.