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 do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

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.

Front

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

Back

A table represents a proportional relationship if the ratios of y to x are the same for all pairs of values.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If the cost of 4 pounds of grapes is $24.36, how do you find the cost per pound?

Back

To find the cost per pound, divide the total cost by the number of pounds: $24.36 ÷ 4 = $6.09.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the two quantities, and the graph does not pass through the origin.

Front

Can a relationship be proportional if it does not pass through the origin?

Back

No, a relationship cannot be proportional if it does not pass through the origin.