Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

Does the table represent a proportional relationship?

Back

Yes, a proportional relationship means that as one quantity increases, the other quantity increases at a constant rate.

Front

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

Back

30 miles per gallon.

Front

A store sells rope by the meter. The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long. How much does the nylon rope cost for 1 meter?

Back

$0.80.

Front

How many tablespoons of honey are needed for 20 cups of flour?

Back

16 tablespoons.

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

If y is directly proportional to x, what is the equation that represents this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

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

Back

Divide the value of one quantity by the corresponding value of the other quantity.

Front

If a recipe calls for 2 cups of sugar for 4 cups of flour, what is the constant of proportionality?

Back

The constant of proportionality is 0.5 cups of sugar per cup of flour.