Ratios and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as a fraction or with a colon.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

Front

How do you calculate a unit rate from a total cost and quantity?

Back

To calculate a unit rate, divide the total cost by the quantity. For example, if the total cost is $97.50 for 15 pizzas, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is the unit rate of calories per serving if there are 208 calories in 4 servings?

Back

The unit rate is calculated by dividing the total calories by the number of servings: 208 calories ÷ 4 servings = 52 calories per serving.

Front

If the unit price for bananas is $1.44 per pound, how do you find the total cost for a specific weight?

Back

Multiply the unit price by the weight in pounds. For example, for 6 pounds: $1.44 × 6 = $8.64.

Front

How do you express a total cost as a unit rate?

Back

To express a total cost as a unit rate, divide the total cost by the number of items. For example, $25.97 for 8 boxes is expressed as $25.97 ÷ 8 = $3.25 per box.

Front

What is the formula to find the unit price of an item?

Back

The formula to find the unit price is: Unit Price = Total Price ÷ Quantity.

Front

How do you round a unit rate to the nearest hundredth?

Back

To round to the nearest hundredth, look at the third decimal place. If it is 5 or greater, round up the second decimal place by one. If it is less than 5, keep the second decimal place the same.

Front

What is the unit price of a 7-pack of DVDs that costs $23.31?

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To find the unit price, divide the total cost by the number of DVDs: $23.31 ÷ 7 = $3.33 per DVD.

Front

What is the significance of understanding unit rates in real-life applications?

Back

Understanding unit rates helps consumers make informed decisions by comparing prices, evaluating costs, and determining the best value for products.