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 2 hours, the unit rate is 30 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 variable.

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 5 boxes of candy cost $12.54, how do you find the unit price?

Back

To find the unit price, divide the total cost by the number of boxes: $12.54 ÷ 5 = $2.508 per box.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If Mr. Keys made $90 in 5 hours, how do you calculate his hourly wage?

Back

To calculate the hourly wage, divide the total earnings by the total hours worked: $90 ÷ 5 hours = $18 per hour.

Front

What does it mean to find a missing number in a proportion?

Back

Finding a missing number in a proportion involves determining the unknown value that makes the two ratios equal.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, the ratio 3:4 can be written as 3/4.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.