Unit Rate and Constant of Proportionality

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if 6 oranges cost $3, the unit rate is $0.50 per orange.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total cost by the number of items. For example, if 4 apples cost $2, the unit price is $2 ÷ 4 = $0.50 per apple.

Front

What is the constant of proportionality?

Back

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

Front

If y = 3x, what is y when x = 4?

Back

y = 3(4) = 12.

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

The unit rate of speed is 300 miles ÷ 5 hours = 60 miles per hour.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If 10 pounds of apples cost $20, what is the unit price per pound?

Back

The unit price per pound is $20 ÷ 10 pounds = $2 per pound.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. For example, if the cost of oranges is always $0.50 per orange, the cost is proportional to the number of oranges.

Front

How can you identify the constant of proportionality from a table?

Back

To identify the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity. If the result is constant, that value is the constant of proportionality.

Front

If 8 pencils cost $4, what is the unit price?

Back

The unit price is $4 ÷ 8 pencils = $0.50 per pencil.