Unit Rates/Constant of Proportionality

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item, ensuring the second quantity is 1.

Front

If Elijah earns $200 for 8 hours of work, what is his unit rate?

Back

$25 per hour.

Front

What is the constant of proportionality?

Back

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

Front

How can a proportional relationship be expressed mathematically?

Back

A proportional relationship can be expressed as y = kx.

Front

If there are 75 pieces of candy in a 15 oz bag, how many pieces are there per ounce?

Back

5 pieces per ounce.

Front

What is the unit rate of $5 for 2 pounds of fish tank gravel?

Back

$2.50 per pound.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or unit rate.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is the unit rate of 60 miles in 3 hours?

Back

20 miles per hour.