Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio between them is constant.

Front

What does it mean if a graph is proportional?

Back

The graph passes through the origin (0,0) and is a straight line.

Front

What is the constant of proportionality?

Back

The constant ratio between two proportional quantities, often represented as k.

Front

How can you identify a non-proportional relationship in a graph?

Back

If the graph does not pass through the origin or is not a straight line.

Front

What is a ratio?

Back

A comparison of two quantities, often expressed as a fraction.

Front

If the constant of proportionality is $9 per hour, what does this mean?

Back

For every hour, the quantity increases by $9.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

What does it mean for a graph to intersect the y-axis?

Back

It means the graph crosses the y-axis at a certain point, indicating a value of y when x is 0.

Front

Can a graph be both proportional and non-proportional?

Back

No, a graph is either proportional or non-proportional based on its characteristics.

Front

What is an example of a proportional relationship in real life?

Back

The relationship between distance and time when traveling at a constant speed.