Week 18~Math Bridges (Proportional Relationships)

Front

What is a proportional relationship?

Back

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

Front

How do you find the constant of proportionality in a proportional relationship?

Back

The constant of proportionality can be found by dividing one quantity by the other (y/x = k).

Front

Back

Front

What does the equation y = 0.5x represent in terms of proportional relationships?

Back

It represents a proportional relationship where for every increase of 1 in x, y increases by 0.5.

Front

Back

Front

What is the meaning of the slope in a linear equation like y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

In the equation y = 2.5x, what does the 2.5 represent?

Back

The 2.5 represents the constant of proportionality, indicating that for every 1 unit increase in x, y increases by 2.5.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

In a proportional relationship, the ratio between the two quantities is constant, while in a non-proportional relationship, the ratio changes.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What does it mean if a statement says 'the relationship is NOT proportional'?

Back

It means that the ratio between the two quantities is not constant and does not maintain a consistent relationship.