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 can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What does it mean if a graph is proportional?

Back

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

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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

Is the relationship between x and y in the table (2,4), (3,6), (4,8) proportional?

Back

Yes, the relationship is proportional because the ratio of y to x is constant (2:1).

Front

Is the relationship between x and y in the table (1,2), (2,5), (3,7) proportional?

Back

No, the relationship is not proportional because the ratios are not constant.

Front

What is the first step to determine if a table is proportional?

Back

The first step is to calculate the ratios of y to x for each pair of values.

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not a proportional relationship.