Proportions and Constant of Proportionality

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 quantity by the number of units. For example, if you travel 120 miles in 2 hours, the unit rate is 120 miles ÷ 2 hours = 60 miles/hour.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

If you earn $12 every 4 weeks, what is your constant of proportionality?

Back

The constant of proportionality is $3 per week.

Front

What is the unit rate of 408 words in 4 minutes?

Back

The unit rate is 102 words per minute.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If a car travels 240 miles in 4 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.