Rates, Unit Rates & Proportions

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as speed (miles per hour) or price (cost 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 1 hour, the unit rate is 60 miles per hour.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the two ratios and set them equal to each other, then solve for the unknown.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.

Front

If 1 cm on a map represents 25 km, how many km does 7 cm represent?

Back

175 km.

Front

What is the formula for finding the unit price?

Back

Unit Price = Total Price / Number of Units.

Front

If 5 boxes of candy cost $12.54, what is the unit price of one box?

Back

$2.50 per box.

Front

What is the unit rate of a car that travels 440 miles in 8 hours?

Back

55 miles per hour.

Front

If hamburger sells for 3 pounds for $6, how much will 10 pounds cost?

Back

$20.

Front

What is the relationship between rates and proportions?

Back

Rates can be expressed as proportions, allowing us to compare different quantities and solve for unknowns.