5.1. Puzzle Time. What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the box containing the exercise number.
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1 . Puzzle Time What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the bo containing the eercise number. Find the product.. tbsp 0 cal. tbsp lb $.9 lb P. cal Q. 80 cal R. tbsp E. $0. F. $.87 G..87 lb. gal 7. mi. gal 0 h $8.0 h C. 70 mi D. mi E. 70 gal T. 0 h U. $0 V. $00 Write the ratio as a fraction.. to. : 7 I. J. K. E. F. G out of 8. males to 8 females E. F. G. P. 7 Q. 7 R. 7 Find the unit rate cups in quarts 0. $7.8 for pounds R. c qt S. c qt T. c qt A. $.9 lb B. $. lb C. $. lb.. miles in hours. $.0 for boes A.. mi h B. 7. mi h C.. mi h G. $. bo H. $. bo I. $.0 bo Big Ideas Math Red Copright Big Ideas Learning LLC
2 Name Date. Practice A Find the product. List the units.. h $. h oz $0.9. oz 9 h 70 mi h Write the ratio as a fraction in simplest form.. to. : 9. tetras : angelfish Find the unit rate miles in hours 8. 8 bowlers on lanes 9. $8 for 7 people Use the ratio table to find the unit rate with respect to the specified units. 0. Laps per minute. Grams of protein per serving Minutes 0 Laps 0 Servings 0 Grams of Protein 0 0. At 9 A.M. ou have run miles. At 9: A.M. ou have run miles. What is our running rate in minutes per mile?. Are the two statements equivalent? Eplain our reasoning. The ratio of orange to blue is to. The ratio of blue to orange is to 9.. There are students in 9 different classrooms. What is the ratio of students to classrooms?. Dishwasher detergent is sold in individual packs. It is sold in 0-0- and 90-pack containers. a. Which container do ou think has the lowest unit rate of dollars per pack? Wh? b. The 0-pack container sells for $.9. What is the unit rate in dollars per pack? Round our answer to the nearest cent. c. The 0-pack container sells for $0.97. What is the unit rate in dollars per pack? Round our answer to the nearest cent. d. The 90-pack container sells for $8.9. What is the unit rate in dollars per pack? Round our answer to the nearest cent. e. Which container has the lowest unit rate? How does this compare with our answer in part (a)? Copright Big Ideas Learning LLC Big Ideas Math Red
3 . Practice B Write the ratio as a fraction in simplest form.. to. 0.8 seconds : feet. 98 women to 0 men. 000 songs : megabtes.. miles :. hours. completions to 8 attempts Find the unit rate. 7. $.0 for cans 8. $.9 for 0 ounces 9. 0 meters in 7. seconds 0. There are bacteria in a beaker. Four hours later there are 8 bacteria in the beaker. What is the rate of change per hour in the number of bacteria?. The table shows nutritional information for three energ bars. a. Which has the most protein per calorie? b. Which has the least sugar per calorie? c. Which has the highest rate of sugar to fiber? Energ Bar Calories Protein Fiber Sugar A 0 0 g g g B 0 g 8 g 0 g C 0 g 9 g 9 g d. Compare bar A with bar B. Which nutritional item do ou think has the highest ratio: calories protein fiber or sugar? e. Calculate the ratios in part (d). Which one has the highest ratio?. The graph shows the cost of buing scoops of gelato. Cost of Gelato a. What does the point( ) represent? b. What is the unit cost? c. What is the cost of scoops? d. Eplain how the graph would change if the unit rate was $.7 per scoop. e. How would the coordinates of the point in part (a) change if the unit rate was $.7 per scoop? Write a situation for the ratio.. 9. : Cost (dollars) ( 9) ( ) ( ) 7 Scoops Big Ideas Math Red Copright Big Ideas Learning LLC
4 . Puzzle Time What Can You Hold Without Ever Touching? For each eercise circle the letter in the columns under Yes or No to indicate the correct answer. The circled letters will spell the answer to the riddle. Yes No Tell whether the ratios form a proportion.. Y T. A O. U H. R S C B. O R 7. E O 8. A L 9. T M 0. S H Tell whether the two rates form a proportion.. miles in hour; 0 miles in 8 hours. $.00 for ounces of strawberries; $.7 for ounces of strawberries 7. baskets in 8 shots; baskets in 0 shots 8. 8 push-ups in 0 seconds; 7 push-ups in 90 seconds 9. One tpe of cereal has grams of protein per -cup serving. Another cereal has gram of protein per half-cup serving. Do these rates form a proportion? 0. A 0-fluid ounce bottle of laundr detergent washes loads of laundr. A 00-fluid ounce bottle washes 0 loads of laundr. Are the proportional? Do these rates form a proportion? 0 Big Ideas Math Red Copright Big Ideas Learning LLC
5 Name Date. Practice A Tell whether the ratios form a proportion Tell whether the two rates form a proportion feet in seconds; feet in 0 seconds. 8 people in rooms; people in 9 rooms. girls to bos; girls to bos. marbles in 9 bags; 0 marbles in bags. You can run laps in 0 minutes. Your friend can run laps in minutes. Are these rates proportional? Eplain. Tell whether the ratios form a proportion You get $7 to spend at the mall for doing chores. Your friend gets $ for doing 8 chores. a. What is our pa rate? b. What is our friend's pa rate? c. Are the pa rates equivalent? Eplain. 9. You can bu tickets for $7 or tickets for $9. Are the costs proportional? If not rewrite one of the rates so the costs are proportional. 0. A recipe requires a ratio of potatoes to carrots. You accidentall use potatoes with carrots. What is the least number of potatoes and carrots that ou can add to get the correct ratio of potatoes to carrots? Copright Big Ideas Learning LLC Big Ideas Math Red 7
6 . Practice B Tell whether the ratios form a proportion Tell whether the two rates form a proportion.. $ for burgers; $ for 0 burgers. 0 used books for $.0; used books for $ horsepower motor for an 8-foot boat; horsepower motor for a -foot boat Tell whether the ratios form a proportion The seventh-grade band has drummers and trumpet plaers. The eighth-grade band has 0 drummers and 8 trumpet plaers. Do the ratios form a proportion? Eplain.. One miture contains fluid ounces of water and 0 fluid ounces of vinegar. A second miture contains 9 fluid ounces of water and fluid ounces of vinegar. Are the mitures proportional? If not how much water or vinegar would ou add to the second miture so that the are proportional?. A wholesale warehouse bus pairs of sandals to sell. a. The warehouse can purchase pairs of sandals for $. What is the cost rate? b. The warehouse can purchase 8 pairs of sandals for $9. What is the cost rate? c. The warehouse can purchase 0 pairs of sandals for $.0 and will get one free pair. What is the cost rate? d. Are an of the cost rates proportional? Eplain. e. Your buer is to purchase 0 pairs of sandals. Use an combination of parts (a) (b) and (c) for our buer to purchase the 0 pairs of sandals at the lowest possible cost. Find the value of so that the ratios form a proportion Big Ideas Math Red Copright Big Ideas Learning LLC
7 . Puzzle Time Who Do Whales Go To See When Their Teeth Need To Be Fied? Write the letter of each answer in the bo containing the eercise number. Solve the proportion h. 0 7 a. m 9 t. 8 8 w. r s q n Answers I. 7 T. 0 O. H. 9 T.. N. 7 D. C. 0 E. 7 T.. A. R. S. O.. You need tickets for one go-kart ride. How man tickets do ou need for five go-kart rides?. Yesterda ou downloaded songs for $.97. How man songs did ou download toda for $.9?. There are students in the school pla. The ratio of girls to all students in the pla is : 8. How man girls are in the pla?. Two out of three vehicles in a parking lot are SUVs. There are 8 SUVs in the parking lot. How man vehicles are in the parking lot? Big Ideas Math Red Copright Big Ideas Learning LLC
8 Name Date. Practice A Write a proportion to find how man points a student needs to earn on the test to get the given score.. test worth 70 points; test score of 90%. test worth 0 points; test score of 7% Write a proportion to find how man free throws a plaer needs to get the given score.. free-throw attempts; free-throw score of 0%. free-throw attempts; free-throw score of 7% Use the table to write a proportion.. August September. Hurricanes Storms n Da Da Wins w 8 Races 7. The count requires teachers for ever students. Write a proportion that gives the number t of teachers needed for students. Solve the proportion. a m d 7 8. A paint color requires the ratio of green paint to ellow paint to be : 9. a. A container of this paint has pints of ellow paint. Write a proportion that gives the number g of pints of green paint in the container. b. How man pints of green paint are in the container? c. How man gallons of paint are in the container altogether?. An orchestra has 0 cellists. a. There are violin plaers for ever cellist in the orchestra. How man violin plaers are there? b. There are viola plaers for ever cellists in the orchestra. How man viola plaers are there? c. What is the ratio of viola plaers to violin plaers? Give our answer in simplest form.. Give two possible pairs of values for p and q: p. q Copright Big Ideas Learning LLC Big Ideas Math Red
9 . Practice B In Eercises and write a proportion to find how man strikes a bowler needs to get the given score.. strike attempts; strike score of 7%. 80 strike attempts; strike score of 9%. Describe and correct the error in writing the proportion.. There are referees for ever plaers. Write a proportion that gives the number of referees r for 8 plaers. Da Da Length.. Height h.. h Solve the proportion r 8. 8 k p w. A recipe calls for cup of sugar and cup of brown sugar. You are reducing the recipe. You will use cup of brown sugar. How much sugar will ou use?. A calculator has 0 kes in five colors: gra black blue ellow and green. a. There are gra kes for ever 7 blue kes. Write the possible ratios for gra to blue kes. b. There are gra kes for ever black kes. Write the possible ratios for gra to black kes. c. There are gra kes for ever black kes. Also the number of black kes is less than twice the number of gra kes. Use our answer to part (b) to determine how man gra kes and how man black kes there are. d. There is ellow ke for ever green ke. How man kes of each color are there? Big Ideas Math Red Copright Big Ideas Learning LLC
10 . Puzzle Time Did You Hear About... A B C D E F G H I J K L M N O P Q R Complete each eercise. Find the answer in the answer column. Write the word under the answer in the bo containing the eercise letter. THE 0 BECAUSE 8 IN DAY.8 MINUTES SECONDS 9 FOR. LUNCH TIME 8 CAFETERIA Use multiplication to solve the proportion. A. C. E. G. m 7 B r D. 9 z F. n H. 7 8 g 8 b 7 9 s 8 Use the Cross Products Propert to solve the proportion. I. K. M. O. Q. c 9 J. 7 L. 8 p k N w P... p $.7 $.7 R. 7 n a..8. t 0 cal cal 0 min min EVERY CLOCK. BACK THAT THE AT. WENT 8. IT SLOW 7 WAS Big Ideas Math Red Copright Big Ideas Learning LLC
11 Name Date. Practice A Use multiplication to solve the proportion d j. 8 8 Use the Cross Products Propert to solve the proportion.. b. 9 0 p 9. h 7. Eighteen oranges are packaged in containers. How man oranges are packaged in 7 containers? 8. It costs $70 for people to go on a fishing trip. How much does it cost for 0 people to go on the fishing trip? Solve the proportion Tell whether the statement is true or false. Eplain. If p q then. p q. The dimensions of a miniature model are proportional to the dimensions of the actual building. a. A wall that is feet high on the building is centimeters high on the model. Find the height on the model of a door that is 9 feet high on the building. b. Use a different method than the one ou used in part (a) to find the number of centimeters on the model for a window that is feet wide.. The ratio of men to women at a lecture is to. A total of people are at the lecture. How man are men? Eplain how ou found our answer.. The distance traveled (in feet) is proportional to the number of seconds. Find the values of and z. Feet z Seconds.. You train for a race b running at a speed of miles per hour. a. At this speed how man minutes does it take ou to run. miles? b. On race da ou run. miles in 0 minutes. What is our speed in miles per hour? Copright Big Ideas Learning LLC Big Ideas Math Red
12 . Practice B Use either multiplication or the Cross Products Propert to solve the proportion.. q r 8 0 w 98. n. 9 b. 0 f 7. Three shirts cost $9.99. How much does it cost for 8 shirts? Solve the proportion c s +. The number of grams of protein is proportional to the number of servings. a. How man servings provide. grams of protein? b. Use a different method than part (a) to find how man servings provide grams of protein. c. How man grams of protein will 7 servings provide? d. If serving is equal to cup how man Protein (grams) Amount of Protein 0 ( ) 0 0 ( ) Servings cups does it take to get 9. grams of protein?. One da 7 people visited a small art museum. The ratio of members to nonmembers that da was to. How man people who visited the museum that da were nonmembers?. Solve the proportion: h. 9. One gallon of water weighs about 8. pounds. a. How much does. gallons of water weigh? b. One inch of rain on a square foot of land weighs. pounds. About how man gallons of rain are there? Round our answer to the nearest tenth. Big Ideas Math Red Copright Big Ideas Learning LLC
13 . Puzzle Time What Is The Invisible Man s Favorite Drink? Circle the letter of each correct answer in the boes below. The circled letters will spell out the answer to the riddle. Graph the line that passes through the two points. Then find the slope of the line.. ( 0 0 ) ( 7 ). ( 0 0 ) ( ). ( ) ( 8 ). ( ) ( ). ( ) ( ). ( 9 ) ( 8 ) 7. ( ) ( ) 8. ( 8 ) ( 0) 9. ( 0 ) ( 0 ) 0. ( 8 ) ( 8). ( ) ( ). ( 8 ) ( ) In Eercises and use the table below for the price of admission to a water park. Water Park Admission Number of Persons 8 Child $ $9 $8 $8 Adult $ $ $8 $8. Find the slope of the line for the price of a child s admission to the water park.. Find the slope of the line for the price of an adult s admission to the water park. C A E R V L A T D P G I O N E R A M K T L E D I M A R I T L K S Big Ideas Math Red Copright Big Ideas Learning LLC
14 Name Date. Practice A Find the slope of the line... ( ) (0 0) ( ) ( ).. ( ) (0 0) (.) (.) Graph the data. Then find and interpret the slope of the line through the points... Das 8 Pages Seconds Feet 88 Graph the line that passes through the two points. Then find the slope of the line. 7. ( 0 0 ) ( ) 8. ( ) ( ) 9. ( ) ( 8 ) 0. The graph shows the amounts that ou are collecting for selling calendars and boes of greeting cards to raise mone for the school band. a. Compare the steepness of the lines. What does this mean in the contet of the problem? b. Find the slope of each line. What does each slope mean in the contet of the problem? c. How much more does it cost to bu calendars than boes of greeting cards? Mone collected (dollars) Fundraising ( 0) ( 0) ( 0) ( ) ( ) (0 0) Number Greeting cards Calenders d. Find two different was that ou could collect eactl $. Copright Big Ideas Learning LLC Big Ideas Math Red 7
15 . Practice B Find the slope of the line... ( ) ( ) 0 8 ( 0) ( ) Which line has the greater slope? Eplain our reasoning... Graph the line that passes through the two points. Then find the slope of the line.. ( ) (.). ( 8 0 ) (.) 7. Graph the line that passes through the points ( 0 ) and ( 0 ). Eplain wh the slope of this line is undefined. 8. You and a friend throw tennis balls up in the air at the same time. The table shows the height (in feet) of each ball. a. Graph the data on the same coordinate aes. Draw lines through the points. Label each graph. b. Find the slope of the line for each tennis ball. What does each slope mean in the contet of the problem? c. Which ball is moving faster? How is this indicated in the slope? d. Find the height of each ball. seconds after being thrown. 9. A line has a slope of What is the value of? Seconds You 0 Friend 7.. It passes through the points ( ) and ( ) 9. 8 Big Ideas Math Red Copright Big Ideas Learning LLC
16 . Puzzle Time How Do Bees Get To School? For each eercise circle the letter in the columns under Yes or No to indicate the correct answer. The circled letters will spell the answer to the riddle. Yes No Tell whether and show direct variation.. T S. ( ) ( ) ( ) ( ). H T. ( ) ( ) ( 9 ) ( ). A E. ( ) ( 0 0 ) ( ) ( ). Y R. ( ) ( ) ( 8 ) ( ). M T. ( ) ( 0 ) ( ) ( ). E A. ( ) ( ) ( 9 ) ( ) 7. L K 7. ( ) ( ) ( ) ( ) 8. E R T S O H 0.. E K.. A B. 7. U N.. Z T.. Y Z. Big Ideas Math Red Copright Big Ideas Learning LLC
17 Name Date. Practice A Graph the ordered pairs in a coordinate plane. Do ou think that graph shows that the quantities var directl? Eplain our reasoning.. ( ) (0 0) ( ) ( ). ( ) (0 ) ( ) ( ) Tell whether and show direct variation. Eplain our reasoning. If so find k The table shows the grams of fiber for the grams of protein. Graph the data. Tell whether and show direct variation. If so write an equation that represents the line. Grams of protein 9 Grams of fiber 8 The variables and var directl. Use the values to find the constant of proportionalit and write an equation that relates and. 9. ; 0. ;. 0; 0. To prepare an aquarium for use ou can clean it with a saltwater solution. The amount of salt varies directl with the volume of the water. The solution has teaspoons of aquarium salt for ever gallon of water. a. How man teaspoons of aquarium salt are needed for gallons of water? b. Write an equation that relates gallons of water to teaspoons of salt. c. Use the equation to find the number of gallons of water to use for teaspoons of salt.. The total cost of football tickets varies directl with the number of tickets purchased. Four tickets cost $. How man tickets can ou bu for $?. One quart is equivalent to 0.9 liter. a. Write a direct variation equation that relates quarts to liters. b. Write a direct variation equation that relates gallons to liters. c. Write a direct variation equation that relates liters to quarts. d. What is the relationship between the values of k in the direct variation equations in parts (a) and (c)? Copright Big Ideas Learning LLC Big Ideas Math Red
18 . Practice B Graph the ordered pairs in a coordinate plane. Do ou think that graph shows that the quantities var directl? Eplain our reasoning.. ( ) ( ) ( ) ( 9 ). ( ) ( ) Tell whether and show direct variation. Eplain our reasoning. If so find k O O 7. The percent of correct answers on a test varies directl with the points earned on the test. a. Cop and complete the table. b. Write an equation that relates and. Points earned? 8? 7? Percent c. Graph the points. Draw a line through the points. Does the graph confirm that and show direct variation? Eplain our reasoning. The variables and var directl. Use the values to find the constant of proportionalit and write an equation that relates and. 8. ; 8 9. ; 0. ; 0. The table shows the heights of the vertical supports for two skateboard ramps. Which ramp(s) show direct variation between distance and height? Distance from base (feet) Height for our ramp (feet).. Height for friend's ramp (feet) 0... Does the graph of ever direct variation equation pass through the origin? Is ever relationship whose graph passes through the origin direct variation? Eplain our reasoning. Big Ideas Math Red Copright Big Ideas Learning LLC
5.1. Puzzle Time. What Do You Get If You Cross A Duck With A Firework? Write the letter of each answer in the box containing the exercise number.
. Wat Do You Get If You Cross A Duck Wit A Firework? Write te letter of eac answer in te box containing te exercise number. Find te product.. tbsp 0 cal. tbsp $.9 P. cal Q. 80 cal R. tbsp E. $0. F. $.8.8.
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