Proportional Relationships

Front

What is the constant of proportionality?

Back

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

Front

Does the table represent a proportional relationship?

Back

A proportional relationship is one where the ratio between two quantities remains constant. If the ratios differ, it is not proportional.

Front

You travel 150 miles on 5 gallons. How far did you travel per gallon?

Back

30 miles per gallon.

Front

Determine the missing value in the table: If x = 5, what is y if the constant of proportionality is 3?

Back

y = 15.

Front

Write an equation for this relationship: If the constant of proportionality is 18.50, what is the equation?

Back

y = 18.50x.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How do you find the constant of proportionality from a table?

Back

Divide the output value by the input value for any pair of corresponding values.

Front

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

Back

The constant of proportionality is 4.

Front

What does it mean if a graph passes through the origin?

Back

It indicates a proportional relationship, as both quantities are zero when the other is zero.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar remains constant.