Name LESSON Date Class Practice B 7-2 Ratios, Rates, and Unit Rates For Exercises 1–3, use the bar graph to find each rate. 1. Marita’s salary per hour Salary for 8-hour Work Day Reiko 2. Jill’s salary per minute Marita Leslie Jill 3. Reiko’s salary for 5 hours Ginger Cherise 0 20 40 60 80 100 120 140 160 4. A contractor gives a quote of $21,060 to remodel a room that is 18 ft by 24 ft. What are the remodeling costs per square foot? 5. Of the 825 cars sold by a dealer, 165 were silver. Write a ratio for the number of silver cars sold to the total number of cars sold. 6. An 8 oz container of yogurt has 120 calories, how many calories are in one ounce of the yogurt? Determine the better buy. 7. 8.2 oz of toothpaste for $2.99 or 6.4 oz of toothpaste for $2.49 8. a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99 9. Mavis rides the bus every day. She bought a bus pass good for the month of October for $38.75. How much was Mavis charged per day for the bus pass? 10. A 16 oz bottle of soda cost $1.25. A 20 oz bottle costs $1.55. Which is the better buy? Copyright © by Holt, Rinehart and Winston. All rights reserved. 18 Holt Middle School Math Holt Pre-Algebra Exploration Recording Sheet 7-2 Ratios, Rates, and Unit Rates Puzzles, Twisters & Teasers 7-1 Testing Your Wit LESSON LESSON The bar graph shows the number of acres of wilderness burned each year from 1991 to 2000. Each bar represents a unit rate, because it shows the number of acres burned in one year. Draw lines to match equivalent ratios. To solve the riddle, fill in the corresponding letters in the spaces below. 3. 4. 5. 6. 7. 8. 9. 10. 12 ᎏᎏ 16 16 ᎏᎏ 9 2 ᎏᎏ 6 16 ᎏᎏ 72 4 ᎏᎏ 12 2 ᎏᎏ 5 2 ᎏᎏ 3 13 ᎏᎏ 3 4 ᎏᎏ 10 21 ᎏᎏ 7 6 ᎏᎏ 9 5 ᎏᎏ 11 65 ᎏᎏ 15 7 ᎏᎏ 14 3 ᎏᎏ 4 1 ᎏᎏ 2 10 ᎏᎏ 22 48 ᎏᎏ 27 3 ᎏᎏ 1 8 ᎏᎏ 36 E Acres of Wilderness Burned: 1991–2000 N Number of acres burned (millions) 1. 2. W R T S E H 9 8 7 6 5 4 3 2 1 0 S 1991 1992 1993 1994 1995 1996 1997 1998 1999 Year 2000 1. The National Interagency Fire Center (http://www.nifc.gov) reported that an average of 3,647,883 acres were burned per year from 1991 to 2000. A What’s the hardest thing about taking tests? a. Is the average also a unit rate? T H E A N S W E R S 1 2 8 4 5 10 7 3 9 6 Yes, it has a second quantity of one. b. In what years were the number of acres burned above the average? 1994, 1996, 1997, 1999, 2000 c. In what years were the number of acres burned below the average? 1991, 1992, 1993, 1995, 1998 Think and Discuss 2. Explain what a unit rate is. A unit rate is a rate in which the second quantity is 1. 3. Describe real-world situations that involve unit rates. Possible answer: miles per hour; dollars per pound Copyright © by Holt, Rinehart and Winston. All rights reserved. 14 Holt Pre-Algebra Practice A 7-2 Ratios, Rates, and Unit Rates Copyright © by Holt, Rinehart and Winston. All rights reserved. LESSON Determine the unit rate for each. For Exercises 1–3, use the bar graph to find each rate. 1. 2 miles in 20 minutes 2. 3 lb for $6.75 1 mile in 10 minutes 1. Marita’s salary per hour $18.25 1 lb for $2.25 2. Jill’s salary per minute For Exercises 1–3, use the bar graph to find each rate. 3. Roger’s heart rate for 30 seconds 41 150 5. Michael’s heart rate for 15 seconds 20 Holt Pre-Algebra Practice B 7-2 Ratios, Rates, and Unit Rates LESSON 4. Liam’s heart rate for 2 minutes 16 $0.30 Heart Beats per Minute 88 86 84 82 80 78 76 74 72 70 68 3. Reiko’s salary for 5 hours $86.25 Possible answers: Salary for 8-hour Work Day Reiko Marita Leslie Jill Ginger Cherise 0 20 40 60 80 4. A contractor gives a quote of $21,060 to remodel a room that is 18 ft by 24 ft. What are the remodeling costs per square foot? Carlos Liam Michael 6. If a gallon of paint costs $18 and covers 180 ft2, how much does it cost to paint a 900 ft2 wall? Patrick 5. Of the 825 cars sold by a dealer, 165 were silver. Write a ratio for the number of silver cars sold to the total number of cars sold. Roger 6. An 8 oz container of yogurt has 120 calories, how many calories are in one ounce of the yogurt? $90 100 120 140 160 $48.75 1 ᎏᎏ 5 15 calories Determine the better buy. 7. The bookstore sold 40 biographies and 100 mysteries. Find the ratio of biographies to mysteries sold. 2 ᎏᎏ 5 7. 8.2 oz of toothpaste for $2.99 or 6.4 oz of toothpaste for $2.49 8. Mr. Duvall worked 45 hours last week and was paid $900. Find the ratio of hours worked to the amount of pay in simplest form. 1 ᎏᎏ 20 8. a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99 8.2 oz for $2.99 3 lb bag for $2.99 9. Randy can purchase a 12 oz container of juice for $0.85 or an 8 oz container for $0.50. Which is the better buy? 9. Mavis rides the bus every day. She bought a bus pass good for the month of October for $38.75. How much was Mavis charged per day for the bus pass? 8 oz for $0.50 $1.25 10. A delivery company charges $9 to deliver a 2 lb package. A competitor charges $14.25 to deliver a 3 lb package. Which is the better rate? 10. A 16 oz bottle of soda cost $1.25. A 20 oz bottle costs $1.55. Which is the better buy? $9 to deliver 2 lb package 20 oz bottle 11. A 24 oz jar of cheese sauce cost $2.88. A 16 oz jar costs $1.79. Which is the better buy? 16 oz jar Copyright © by Holt, Rinehart and Winston. All rights reserved. 17 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Pre-Algebra Copyright © by Holt, Rinehart and Winston. All rights reserved. 104 18 Holt Pre-Algebra Holt Middle School Math Holt Pre-Algebra
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