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 can you identify 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?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 1 serving?

Back

0.5 cups of flour.

Front

What does it mean if a table represents a proportional relationship?

Back

It means that the ratios of the corresponding values in the table are constant.

Front

If 3 apples cost $1.50, what is the cost of 1 apple?

Back

$0.50 per apple.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

60 miles per hour.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k'.