Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What are the characteristics of a proportional graph?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented as 'k'.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality, divide the value of y by the value of x for any point on the line.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If k = 3, what does this mean in a real-world context?

Back

If k = 3, it means for every unit increase in x, y increases by 3 units.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, which does not pass through the origin.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table of values represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

If the constant of proportionality is negative, the graph will still be a straight line but will slope downwards.