Interpreting 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 identify a proportional relationship from a graph?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented as 'k'.

Front

If 5 apples cost $10, what is the cost of 1 apple?

Back

$2 per apple.

Front

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

Back

In a proportional relationship, (x, y) represents the quantities where y = kx, with k being the constant of proportionality.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1.

Front

If a car travels 60 miles in 1 hour, what is its speed in miles per hour?

Back

60 miles per hour.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What does the point (0,0) signify in a proportional relationship?

Back

The point (0,0) signifies that when there is no input (0), there is no output (0), indicating a direct relationship.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour.