1.7 Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. In the equation y = kx, 'k' is the constant of proportionality.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0). This indicates a constant ratio between the two variables.

Front

What does it mean for a graph to be non-proportional?

Back

A graph is non-proportional if it does not pass through the origin. This indicates that the ratio between the two variables is not constant.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are constant.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

If a graph shows a straight line that does not pass through the origin, what type of relationship does it represent?

Back

It represents a non-proportional relationship.

Front

What is the unit rate for a graph where 100 units of y correspond to 2 units of x?

Back

The unit rate is 50, calculated as 100/2.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through it, indicating that when one quantity is zero, the other is also zero.

Front

Can a graph be a straight line and still be non-proportional?

Back

Yes, a straight line can be non-proportional if it does not pass through the origin.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where 'k' is the constant of proportionality.