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 does the ordered pair (20, 3000) represent in a proportional relationship?

Back

The machine folds 3,000 sheets in 20 minutes.

Front

How do you find the unit rate in a proportional relationship?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if a car travels 120 miles in 2 hours, the unit rate is 120 miles ÷ 2 hours = 60 miles/hour.

Front

What is the unit rate of 624 calories in 3 servings?

Back

208 calories per serving.

Front

What does it mean if an equation represents a proportional relationship?

Back

It means that the equation can be expressed in the form y = kx, where k is a constant.

Front

Is the equation y = 2x + 3 a proportional relationship?

Back

No, because it includes a constant term (3) that prevents it from being in the form y = kx.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the unit rate of 60 miles in 1 hour?

Back

60 miles per hour.

Front

If a recipe calls for 4 cups of flour for 2 cakes, how much flour is needed for 1 cake?

Back

2 cups of flour.