Name: __________________________________ Date: ___________________ UG: I will be able to___________________________________________________ __________________________________________________________________ RATES A rate is a ratio in which the terms have different units, such as 240 miles per 4 hours. A rate is called a unit rate when the second term is 1 unit, such as 60 miles per hour. Example 1 Jodi can swim 1 2 mile in 3 4 hour. What is the unit rate of miles per hour? Write a ratio. Miles per hour: Divide the numerator by the denominator. The unit rate is ________ mile per hour. 6 PRACTICE 1. Devante rode his bike 2. It took a farmer 7 acres per hour? 7 8 mile in 1 4 hour. What is the unit rate in miles per hour? 1 1 hours to plant acre of with plants. What is the unit rate in 2 2 3. There are 15 grams of fat in 5 servings of canned soup. What is the unit rate of grams of fat per serving? 4. A baker prepares 2 1 1 dozen muffins in hour. 2 4 Write the unit rate for this. _____________________ Explain how you found your answer. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 7 A unit price is a price for one unit of a product. The unit price of an item can be its price per ounce, per pound, per hour, or any unit of measure. Some unit prices are $0.19 per ounce, $3.99 per pound, and $8.00 per hour. Notice that these unit prices could also be written as $0.19 per 1 ounce, $3.99 per 1 pound, and $8.00 per 1 hour. Example 1 Mrs. Libman bought 16 gallons of gasoline for $52. What is the price per gallon of the gasoline she bought? Use the ratio of dollars to gallons of gas to find the unit price. Mrs. Libman paid _________ per gallon of gas. Example 2 Michael works as a bagger in a grocery store. Last week he worked for 20 hours and was paid $150. How much does Michael earn per hour? Use the ratio of dollars to hours to find the unit price. Michael earns _________ per hour. 8 You can compare unit prices of similar products to find the better deal. Example 3 Crunch’s Peanut Butter costs $2.99 for 14 ounces. Nutty’s Peanut Butter costs $3.36 for 16 ounces. Which brand of peanut butter is the better deal? Find the unit price of Crunch’s Peanut Butter. Crunch’s Peanut Butter costs _________ for 1 ounce. Find the unit price of Nutty’s Peanut Butter. Nutty’s Peanut Butter costs _________ for 1 ounce. Better Deal: ___________________________________ PRACTICE Find each unit price. Then determine the better buy. 1. ribbon: $.49 for 1 yd $1.95 for 3 yd 2. walnuts: $3.49 for 1 lb $2.49 for 10 oz 9 Name: ______________________________________ Date: ______________ Practice: Unit Rate/ Unit Price Directions: For question 1 through 4, find the unit rate. 1. Daniel walked 1 2 mile in 8 1 minutes. 2 2. A carpet layer can put down 7 8 square yards of carpeting in 1 20 hour. 3. Jane can read 53 pages in 2 hours. 4. Last week John earned $147 in 21 hours. Directions: For question 5 through 7, find the unit price. 5. Henry bought 2 shirts for $31.00. 6. Mrs. Kelly bought a 5-pound bag of apples for $4.00. 10 7. Georgia paid $10.80 for a bouquet of a dozen roses. Directions: For question 8, find the better buy. 8. Jamie can buy a 15-ounce bottle of shampoo for $2.85 or a 20-ounce bottle of the same shampoo for $3.80. She can use a $0.60-off coupon for either bottle of shampoo. What is the price per ounce of the 15-ounce bottle of shampoo with the coupon? __________________________________________________________________ Explain how you found the answer. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ What is the price per ounce of the 20-ounce bottle of shampoo with the coupon? __________________________________________________________________ Explain how you found the answer. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ Which is the better buy? _______________________________________________ 11