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

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624/3 = 208 calories per serving.

Front

What does the point (x, y) represent in a proportional relationship?

Back

In a proportional relationship, the point (x, y) represents the amount of one quantity (y) for a given amount of another quantity (x).

Front

If 1/4 cup of water is needed for every 1/2 cup of flour, how much flour is needed for 1.5 cups of water?

Back

3 cups of flour.

Front

What is the formula for finding k in a proportional relationship?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

Is the graph of a proportional relationship a straight line?

Back

Yes, the graph of a proportional relationship is a straight line that passes through the origin.

Front

What does it mean if a graph is proportional?

Back

If a graph is proportional, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

How can you tell if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) between two proportional quantities.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.