Ratios, Rates, Unit Rates

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 single unit. For example, if a person earns $90 in 5 hours, the unit rate is $18 per hour.

Front

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

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if Mr. Keys made $90 in 5 hours, the unit rate is calculated as $90 ÷ 5 hours = $18 per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. It can be expressed in various forms, such as fractions, decimals, or with a colon.

Front

Provide an example of a ratio in real life.

Back

An example of a ratio in real life is 4 meatballs to 1 cup of sauce, which can be written as 4:1.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different. For example, the ratios 5:4 and 25:20 are equivalent.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply the terms and see if the products are equal. For example, for the ratios 5:4 and 25:20, check if 5 * 20 = 4 * 25.

Front

What is a rate?

Back

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

Front

How do you find the number of students per class if you have the total number of students and classes?

Back

To find the number of students per class, divide the total number of students by the number of classes. For example, if there are 88 students in 4 classes, then 88 ÷ 4 = 22 students per class.

Front

What is the formula for calculating a unit price?

Back

The formula for calculating a unit price is: Unit Price = Total Price ÷ Quantity. This helps determine the cost per single unit of an item.

Front

How do you compare two different products based on their prices and quantities?

Back

To compare two products, calculate the unit price for each product and then compare these unit prices. The product with the lower unit price is the better buy.