Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

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 624 calories are in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they can be expressed as equivalent fractions.

Front

If 2 apples cost $20, what is the cost of 1 apple?

Back

The cost of 1 apple is $20 ÷ 2 = $10.

Front

If 5 apples cost $50, what is the cost of 10 apples?

Back

The cost of 10 apples is $50 × 2 = $100.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

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 relationship between ratios and proportions?

Back

Ratios are comparisons of two quantities, while proportions are equations that show that two ratios are equal.

Front

If the ratio of boys to girls in a class is 3:4, what is the constant of proportionality?

Back

The constant of proportionality can be found by dividing the number of boys by the total number of students. If there are 3 boys and 4 girls, the total is 7, so the constant is 3/7.