Constant of proportionality and Unit Rate

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Write an equation for a proportional relationship where the constant of proportionality is 18.50.

Back

y = 18.50x

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 of another quantity.

Front

If a recipe calls for 3/4 cup of brown sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

4 eggs per cup

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a quantity per one unit.

Front

If a 12-pack of soda costs $3.50, what is the unit price per can?

Back

The unit price is $0.29 per can.

Front

What is the formula to calculate the constant of proportionality from a table of values?

Back

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

Front

If you have 18 & 3/4 cups of ice cream, how many 1/3 cup servings can you make?

Back

You can make 56 servings.

Front

Which is the better buy: a 12-pack of soda for $3.50 or a 6-pack for $1.80?

Back

The 12-pack is the better buy.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.