Lesson 1.1 Assignment Name Date Show Someone You Care Send Flowers! Introduction to Ratios and Rates 1. Barry s Gym has a mixture of members that include students, adults, and seniors. Barry is thinking of expanding, but is not sure if he wants to add more weight machines or more cardio machines (treadmills, ellipticals, and stair climbers). He decides to observe the members for one afternoon and note which type of members use the different machines. The results are shown in the table. Activity Student Members Adult Members Senior Members Weight machines 11 5 3 Cardio machines 9 12 7 Total 20 17 10 a. What is the ratio of students who used cardio machines to the total number of student observed? Write each statement as a ratio using colons and in fractional form. b. What is the ratio of students who used weight machines to seniors who used weight machines? Write each statement as a ratio using colons and in fractional form. Chapter 1 Assignments 1
Lesson 1.1 Assignment page 2 c. What is the ratio of adults who used cardio machines to seniors who used cardio machines? Write each statement as a ratio using colons and in fractional form. 2. Barry s Gym offers members 2 options at the refreshment bar: bottled water and protein bars. Currently, for every 3 protein bars Barry sells, he sells 4 bottles of water. a. How many bottles of water has he sold if he s sold 9 protein bars? Complete the model. Then, calculate your answer from your model and explain your reasoning. WATER WATER WATER WATER b. How many protein bars has he sold if he s sold 20 water bottles? Complete the model. Then, calculate your answer from your model and explain your reasoning. WATER WATER WATER WATER 2 Chapter 1 Assignments
Lesson 1.1 Assignment page 3 Name Date 3. Of the protein bars that Barry s Gym sells to members, they sell 4 chocolate almond bars for every 7 peanut butter bars sold. Scale up each ratio to determine the unknown quantity of protein bars. a. 4 chocolate almond bars 5? chocolate almond bars 7 peanut butter bars 28 peanut butter bars b. 4 chocolate almond bars 5 48 chocolate almond bars 7 peanut butter bars? peanut butter bars c. 4 chocolate almond bars 5? chocolate almond bars 7 peanut butter bars 161 peanut butter bars Chapter 1 Assignments 3
Lesson 1.1 Assignment page 4 4. Barry s Gym is running a sale on protein bars. During the sale, members can purchase 3 protein bars for $4.50. a. How much would 8 protein bars cost? Complete the model. Then, calculate your answer from your model and explain your reasoning. $ 4.50 b. If a really hungry gym member bought 45 protein bars, how much would he have to pay? Explain your reasoning. 4 Chapter 1 Assignments
Lesson 1.2 Assignment Name Date Making Punch Ratios, Rates, and Mixture Problems 1. Jonah is going to take a month-long vacation in June. He is considering a trip to one of four different cities: New York City, Miami, Los Angeles, or Chicago. One of the factors in his decision will be the weather. He decides to research the average number of dry days and rainy days in each city during the month of June. His results are shown. New York City Miami 21 dry days 9 rainy days 16 dry days 14 rainy days Los Angeles Chicago 29 dry days 1 rainy day 22 dry days 8 rainy days a. Write each city s results as a ratio of dry days to rainy days. b. Write the results for each city as a ratio of the average number of dry days to the total number of days in June. Then list the cities in order from driest to rainiest. Chapter 1 Assignments 5
Lesson 1.2 Assignment page 2 c. Which city should Jonah visit if he dislikes rain? Explain. d. Can you predict how many rainy days each city will have in the next 5 years during the month of June? Use the data from the table to formulate your predictions. 2. Jonah will be staying a month in one of the cities listed in the table. He wants to determine the average cost of public transportation for each city. He finds the following information. City New York City Miami Los Angeles Chicago Cost for Unlimited Public Transportation $51.50 for 14 days $100 for 1 month $17 for 1 week $14 for 3 days a. Write a rate that shows the cost for public transportation in each city. 6 Chapter 1 Assignments
Lesson 1.2 Assignment page 3 Name Date b. Scale each rate up to equal quantities to determine the amount per month. (Use 28 days for one month.) c. Scale each rate down to equal quantities to determine the amount per day. (Use 28 days in one month.) d. List the cities in order from lowest cost to highest cost. Chapter 1 Assignments 7
Lesson 1.2 Assignment page 4 3. Jonah makes a snack mix to take with him on vacation. His favorite snack mix is 5 parts raisins and 4 parts peanuts. He wants to take 27 cups of snack mix. How many cups of raisins and peanuts does he need? 8 Chapter 1 Assignments
Lesson 1.3 Assignment Name Date For the Birds Rates and Proportions 1. Janine will be traveling to Botswana, where the unit of currency is called the pula, which means rain in the local language. Currently, $1 is equivalent to 7 pula. a. If Janine has $500 to spend in Botswana, how many pula will she have to spend? b. The safari lodge where she is staying in Chobe National Park costs 434 pula each night. What is the cost per night in dollars? c. When she goes to dinner at the safari lodge, the bill comes to 91 pula. How many dollars did Janine spend on dinner? Chapter 1 Assignments 9
Lesson 1.3 Assignment page 2 2. In Malawi, the unit of currency is called the kwacha. Although its value changes frequently, 152 kwacha is equivalent to $1. a. Janine visits Malawi and pays 760 kwacha per night to stay in a tent. How many dollars is she spending per night? b. Janine is buying souvenirs for her sister, who had to stay home. She s buying her a beautiful wood carving. The carver is asking $27 for the carving. If Janine agrees, how many kwacha will she need to purchase the souvenir? c. Janine spent a total of 68,400 kwacha in Malawi! How many dollars did she spend? 10 Chapter 1 Assignments
Lesson 1.3 Assignment page 3 Name Date 3. As she travels around Africa, Janine visits Matopos National Park in Zimbabwe. The safari guide tells her all about how much the animals that live in the park eat. Lions usually weigh around 450 pounds and eat 50 pounds of meat in one meal. Cheetahs weigh approximately 140 pounds and eat 6.5 pounds of meat in one meal. Spotted hyenas weigh around 125 pounds and eat 32 pounds of meat in one meal. a. Determine the ratio of pounds of meat eaten in one meal to the animal s weight. Write the ratios as decimals. Round to the nearest thousandth, if necessary. b. Which of the three animals eats the greatest amount of meat for its weight? c. Which of the animals listed eats the least amount of meat for its weight? Chapter 1 Assignments 11
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Lesson 1.4 Assignment Name Date Tutor Time! Using Tables to Solve Problems Domari has decided that it s time to lose some weight. She wants to start exercising, but she needs to research different workouts to decide which one is best for her. 1. If Domari takes a step aerobics class, she can burn approximately 550 calories per hour. a. Complete the table. Time (hours) 1 2 1 1 1 2 2 2 1 2 Calories burned 550 b. Determine the unit rate for this situation. c. How many calories will Domari burn if she takes a step aerobics class that is 1 hour and 15 minutes long? Chapter 1 Assignments 13
Lesson 1.4 Assignment page 2 d. If Domari wants to burn off the 415-calorie piece of cake that she had after lunch, how long does she need to do step aerobics? e. Domari read that you have to burn an extra 3500 calories to lose 1 pound of fat. How many hours does she need to do step aerobics this week to lose 1 pound of fat? 2. Domari likes to lift weights. If she lifts weight for 1 1 hours, she can burn approximately 2 315 calories. a. Complete the table. Time (hours) 1 2 1 1 1 2 2 2 1 2 Calories burned 315 b. Determine the unit rate for this situation. 14 Chapter 1 Assignments
Lesson 1.4 Assignment page 3 Name Date c. Complete the sentence that states another equivalent ratio. Explain your reasoning. If Domari lifts weights for hours, she can burn calories. d. If Domari wants to burn an extra 3500 calories to lose 1 pound of fat this week, how many hours does she need to lift weights? 3. Domari s friend is trying to convince her to start running so that they can run together after school. In 30 minutes of running, Domari can burn 350 calories. a. Complete the table. Time (hours) 1 2 1 1 1 2 2 2 1 2 Calories burned b. Write the relationship between the number of calories burned and the time as a unit rate. Chapter 1 Assignments 15
Lesson 1.4 Assignment page 4 c. How many calories will Domari burn if she runs for 45 minutes? 4. Domari s grandmmother reminds her that she can burn calories from helping out around the house. General housecleaning (sweeping the floors, vacuuming, laundry, etc.) can burn 470 calories every 2 hours. a. Complete the table. Time (hours) 1 2 3 4 5 Calories burned b. Write the unit rate for this situation. c. Domari burned 350 calories doing housework for her grandmother. Approximately how long did she work? d. How many calories can Domari burn in 3 1 hours of housework without any breaks? 2 16 Chapter 1 Assignments
Lesson 1.5 Assignment Name Date Looks Can Be Deceiving! Using Proportions to Solve Problems 1. Erika found out that after working in her current job for 9 months, she has earned 6 days of vacation. a. If Erika works for 2 years, how many vacation days will she earn? b. If Erika wants to take a 10-day vacation, how long does she need to work to earn enough vacation days? Chapter 1 Assignments 17
Lesson 1.5 Assignment page 2 c. How many vacation days does Erika earn in 6 months of working? 2. While on vacation, Erika s favorite activity is catching some rays while reading novels by the pool. She can read 40 pages of a book in 50 minutes. a. Erika has to leave the pool in 30 minutes to go get lunch. How many pages can she read before she leaves? 18 Chapter 1 Assignments
Lesson 1.5 Assignment page 3 Name Date b. If she reads for 3 hours one afternoon (and applies lots of sunscreen!), how many pages did she read? c. Erika packed a book for vacation that is 280 pages in length. How long will it take her to read this book? Chapter 1 Assignments 19
Lesson 1.5 Assignment page 4 3. At a resort where Erika is vacationing, there is an events coordinator who plans fun activities for the resort guests each afternoon. In trying to decide which activity she wants to participate in today, Erika asks for the current number of people who have signed up for each activity. Activity Number of Sign-ups Snorkeling 20 Shuffle Board 6 Board Games 10 Beach Volleyball 24 a. How many guests have already signed up for activities? b. If a total 90 guests are expected to sign up for activities, how many guests can the events coordinator expect to sign up for snorkeling? 20 Chapter 1 Assignments
Lesson 1.5 Assignment page 5 Name Date c. If a total of 200 guests are expected to sign up for activities, how many guests can the events coordinator expect to sign up for beach volleyball? d. If 50 guests signed up for shuffle board, how many total guests can the events coordinator expect to have signed up for activities? Chapter 1 Assignments 21
Lesson 1.5 Assignment page 6 4. On her way home from vacation, Erika s luggage is selected to be hand-searched by airport security. She learns that they hand search 3 out of every 15 bags that are checked. a. Complete the table. Number of Bags Checked 15 35 125 Number of Bags Hand-Searched 3 10 b. If airport security has hand-searched 80 bags, how many bags were checked? c. If 750 bags are checked during a 3-hour span, how many of those bags will be hand-searched? 22 Chapter 1 Assignments
Lesson 1.6 Assignment Name Date The Price Is... Close Using Unit Rates in Real World Applications The Baby Shop sells baby supplies for new families. They offer different brands of the same items. 1. James and his mom are shopping for his new baby brother. It is James job to make sure that his mom is making wise purchases. Their first item to purchase is diapers. There are 3 different options for newborn-sized diapers. Stay-Dry: 108 diapers for $25.18 UberSoft: 180 diapers for $39.14 Cuddlies: 160 diapers for $38.77 a. What is the unit rate for the Stay-Dry diapers? b. What is the unit rate for the UberSoft diapers? c. What is the unit rate for the Cuddlies diapers? d. Which kind of diapers should James advise his mom to purchase? Chapter 1 Assignments 23
Lesson 1.6 Assignment page 2 2. Brianne and her dad need to buy baby wipes from The Baby Shop. They can buy a box of 720 wipes for $21.88 or a box of 640 wipes for $15.22. Which is the better deal? Explain your reasoning. 3. The Baby Shop sells 3 different brands of infant formula. TenderTummy: 139 oz for $142.74 Complete Care: 89 oz for $95.16 ProGrowth: 103 oz for $119.99 Which type of formula is the best buy? Explain how you know. 24 Chapter 1 Assignments
Lesson 1.6 Assignment page 3 Name Date 4. Erik and his mom need to purchase sleepers for his baby sister to wear. They can buy a 3-pack for $10.99 or a 2-pack for $7.99. Use unit rates to help Erik decide which package is the better buy. Explain your reasoning. Chapter 1 Assignments 25
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