Representing 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 is constant.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What is the formula to find the constant of proportionality (k)?

Back

Front

If k = 3, what does this mean in a proportional relationship?

Back

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

Front

What is the relationship between k and the slope of a line in a proportional relationship?

Back

In a proportional relationship, the constant of proportionality (k) is equal to the slope of the line on a graph.

Front

How do you determine 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 does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is k = 4.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.