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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

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 does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for one unit of another quantity, indicating the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

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 ratios of y to x are constant for all pairs of values.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the origin (0,0) indicates that when one quantity is zero, the other quantity is also zero.

Front

What is an example of a non-proportional relationship?

Back

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

Front

How can you find the unit rate from a word problem?

Back

To find the unit rate, divide the total amount by the number of units to determine the rate per one unit.