Proportional-Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is a non-proportional relationship?

Back

A relationship where the ratio of one quantity to another is not constant.

Front

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

Back

Check if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

The constant ratio in a proportional relationship, often represented as 'k'.

Front

If y = kx, what does 'k' represent?

Back

The constant of proportionality.

Front

What does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin.

Front

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

Back

A line that does not pass through the origin or a curve.

Front

If Jeff runs 6 miles in 4 hours, what is his rate of speed?

Back

1.5 miles per hour.

Front

If a table shows values (2, 4), (3, 6), (4, 8), what type of relationship is this?

Back

Proportional, because the ratio is constant (2:1).

Front

If a table shows values (1, 2), (2, 5), (3, 7), what type of relationship is this?

Back

Non-proportional, because the ratio is not constant.