Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units, such as speed (miles per hour) or cost (dollars per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate the unit rate from a given rate?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, if you have 42.5 pages in 17 minutes, divide 42.5 by 17 to get 2.5 pages per minute.

Front

What is the better value: 4-pack of protein bars for $7.68 or 12-pack for $22.32?

Back

The 12-pack is the better value because it costs less per protein bar.

Front

If a speedboat travels 70 miles in 35 minutes, what is its speed in miles per minute?

Back

The speed is 2 miles per minute.

Front

How much snow falls at a rate of 3/4 inch per hour in 6 hours?

Back

4.5 inches of snow falls in 6 hours.

Front

What is the unit rate of 12 donuts in 3 boxes?

Back

The unit rate is 4 donuts per box.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 50 miles per hour.

Front

How do you find the total amount from a unit rate?

Back

Multiply the unit rate by the number of units. For example, if the unit rate is 2 miles per minute and you travel for 10 minutes, the total distance is 20 miles.

Front

What is the formula for calculating a rate?

Back

Rate = Quantity 1 / Quantity 2. For example, speed = distance / time.