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 by 'k'.

Front

If k=1, what does this imply about the relationship?

Back

If k=1, it implies that the two quantities are equal; for every unit of one quantity, there is one unit of the other.

Front

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

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a given rate?

Back

To calculate the unit rate, divide the total amount by the number of units.

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

If a recipe requires 2 cups of sugar for 4 cups of flour, what is the unit rate of sugar per cup of flour?

Back

The unit rate is 0.5 cups of sugar per cup of flour.

Front

Is the relationship between distance and time in a constant speed scenario proportional?

Back

Yes, the relationship is proportional because the distance traveled is directly related to the time at a constant speed.

Front

What does it mean if a table of values is not proportional?

Back

If a table of values is not proportional, it means that the ratios of the quantities are not constant.