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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented 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 one quantity by the corresponding value of the other quantity.

Front

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

Back

The constant of proportionality is 3.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

If an equation does not represent a proportional relationship, it means that the ratio of the two quantities is not constant.

Front

How can you tell if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Front

What is the equation for a proportional relationship?

Back

The equation 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 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

What happens to the graph of a proportional relationship?

Back

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