Kami Export - Omkar Nerurkar - R Un 3 Review Key (2) PDF

Name: Class: Date: Review 1. The graph shows how many centimeters a bamboo plant can grow ( g) and the number of hours (t) that the...

Name: Class: Date: Review 1. The graph shows how many centimeters a bamboo plant can grow ( g) and the number of hours (t) that the plant has been growing. 4.50 400 350 E 300 8 250 60 10 20 so 40 60 60 70 eo go Tirne (in hours) a. Is the relationship between growth of the bamboo plant and time a proportional relationship? How do you know? ) m-cl b. Determine the constant of proportionality. Explain how you determined k. -Y goo _ c. What does k represent in the problem situation? 5„dk d. Write an equation representing the relationship between the amount the bamboo grows and time. Y=SM Use your equation to determine how many hours would it take the bamboo plant to grow 3 meters (300 centimeters). gob S k 40 2. The cost (c) to hire a dog trainer is directly proportional to the amount of time (h) in hours spent training the dog. a. Circle the equation that represents the proportional relationship between c and h. c = kh h=ck c=h+k b. Sue spent $660 on 12 hours of obedience training for her dog Muffin. Jon wants to use the same dog trainer for his dog Tex, but he only has $440 to spend. How many hours of training can he get for Tex? Explain your reasoning. 6cÖ SSk 1 hæsf 3. Which statement is not true for the graph shown? i 8 275 165 110 d 234 s 678@x i Time (hours) The relationship between time and distance is directly proportional. b. The point (3, 165) means the car traveled 3 miles in 165 minutes. distance 1. c. The constant of proportionality represents time 1 d. The point (O, O) represents the beginning of the trip. 4. The graph shows that the amount of water in a person's body varies directly with the person's mass. What is the constant of proportionality? S to 20 86 45 x 10 2 15 or 3 5 12 10 15 3 d. —or 10 2 5. The graph shows the distance a ghost crab can run over time. Ghost Crab Run 20 10 Time in Seconds Let d equal the distance in meters and t equal the time in seconds. Which is the equation for this proportional relationship? a. b. t——d  6. Consider the following table. x -8 6 2 3.5 (2 10 12.5 20 20 a. Will the ordered pairs listed in the table form a straight line when plotted? Explain your reasoning. Ves b. Is the relationship represented in the table proportional? Explain you reasoning. k $ Ö,Yis 7. Jose is making mango smoothies. Jose used three 16-ounce containers of plain yogurt. He made 15 servings of smoothies. - 3.2 a. What is the rate of the number of ounces of yogurt per smoothie? (S b. How much of a smoothie can Jose make with 1 ounce of plain yogurt? 0.3125 c. Jose reasons that if he doubles the number of 16-ounce containers of plain yogurt, he can make 30 servings of smoothies. Is Jose correct? Justify your response. Yes ts 8. During the week, Azim bought gas at 3 different gas stations. He bought 15 gallons at Joe's for$41.85. He bought 18 gailons at ZoomGas for $48.78. He bought 9 gallons at Corner Gas for$24.66. Deterpine the yet the gas at 541/ 9. What can you concluÄöut the relationship being proportional or non-proportional based on each statement? Explain your reasoning. The relationship has a constant rate of change. eÅur b. The equation qf the rel tionship is in t form y = kx. c. The graph of the relationship has a y-intercept other than (0, O). d. The graph of the relationship is not a line. 40 4 10. Consider the following table Number of Points Displayed Bull's-Eyes Made 12,000 36,000 52,000 84,000 Calculate the rate of change of the linear function represented by the table. Can you determine the number of points displayed for 10 bull's-eyes made by doubling the number of points displayed for 5 bull's-eyes made? Explain your reasoning. 11. Consider the following graphs. Graph A Graph B 320 280 14 240 12 160 120 1294 s 67 g 9 23 567 Number of Loaves g 9 Time (seconds) Tell whether the rate of change from each graph is positive or negative. A RDS. Determine the rate of change shown in each S cys per a (OuS Restate he rate of change as a unit rate. Explain its meaning. —30 30 4+ Sec Tell wh tner each graph represents proportional relationships. Explain your reasoning. 12. How do the slopes of line segments AB and BC compare? a. The slope of line segment AB is greater than the slope of line segment BC. b. The slope of line segment AB'is less than the slope of line segment BC. c. The slope of line segment AB is equal to the slope of line segment BC.. The slope of line segment AB is opposite the slope of line segment BC. 13. What is the slope for the following graph? 6789 x of Minuts 0.18ft 1 min 2ft 1 min O.5ft 1 min 5.5ft 1 min 14. What is the slope for the linear function shown in the table? 15 -45 15. A small ice cream cone costs $2.00, a medium costs $2.75, and a large costs $3.25. Special toppings cost extra. Melanie's medium cone with 2 toppings cost $3.35. What is the unit rate of cost per number of toppings for a medium cone? $0.03 1 topping $0.05 1 topping $0.30 1 topping $0.60 1 topping 16. What is the y-intercept of the linear equation represented by the table? 75 522 100 697 125 872 150 1047 e7(pj) d. 172 17. Which slope is shown on the graph? 16 to 12 d8 x Number of Target Hits 2 points 2 hits 2points 8 hits 8points 2 hits 32points 4 hits 18. Which ordered pairs, when plotted, will form a straight line? A 22 12 22 12 19. The ratio of boys to girls at a school dance is shown in the graph 1 123466789 of (Hs Which equation has a greater rate of change than the rate shown in the graph? y=—x y——x y =—x y =—x 20. Javier's earnings are shown in the table below Time Worked Money Earned (hours) dollars $67 22 $179 35 $270 50 $375 Determine Javier's hourly pay rate a. $6 per hour $7 per hour $25 per hour d. $27 per hour 10 21. Given one of the re resentations below, find the her two. Graph 1 230 Equation y = äX+1 a. Find the y-intercept for each representation above b. Find the slope for eachtrepresehtationabove. 22. Harry is making bouquets of balloons. He makes the bouquets so that 2 out of every 5 balloons are red. Which equation correctly compares the number of balloons he uses, x, to the number of red balloons, y? y =—x y y-ax y 11 23. Use the graph below to answer (a)-(d) Y a. List the coordinates of three points on the line. b. Which equation below is the equation of the line? ii. y=O.5x+2 iii. 0.5x-5 iv. y = 4- 0.5x 30 c. Does the point (56, 35) lie on the line? Explain your reasoning.ØD, d. Does the point (—20, —8) lie on the line? Explain your reasoning. Yes 24. Here is a graph of three lines. a. Complete the chart. line slo -interce t -J c b. Write the equations of the three lines line A: line B: -YAK-±-2—, line C. 12  25. For each of the lines below, find the slope, and write an equation that represents the line. Slope c 26. Speedy Taxicab Company charges a base fee plus a cost per mile for a cab ride. The table below shows the number of miles driven and the total cost for each ride. Distance Total (miles) Cost dollars $3.90 $5.10 10 $6.00 $7.50 $8.40 D, 90 What is the base fee for a cab ride? c D.30 a. $2.00 b. $2.50 $3.00 d. $3.50 13 27. Julie is planning a party and comparing the cost at different catering halls. At Parties R Us, the charge is $20 per person. At Elegant Banquets, the charge is $15 per person. a. Complete the tables to show the total cost for different numbers of people. Parties R Us Elegant Banquets Number of Total Cost Number of Total Cost People dollars Peo le dollars 25 DO 25 30 50 50 75 75 100 000 100 b. Write an equation to represent the cost at each banquet hall where x represents the number of people and y represents the total cost. =20x c. Lines and 1 represent the cost at each banquet hall. Determine which line represents each banquet hall. Explain your reasoning. BOO 1600 1400 x 0 20 40 80 100120140160180 M.znba of Pavle d. Describe the similarities and differences in each of the graphs, tables, and equations that represent the proportional relationships. 14  28. Casey and Allison are making bracelets to sell at a street fair. The number of bracelets they have completed at the end ofeach week are shown below. Casey Allison Time Worked Total Bracelets Time Worked Total Bracelets weeks Made weeks Made 5 150 3 160 6 180 7 360 8 240 10 510 9 270 12 610 a. Determine the rate w each person works. Show your work ich 30 bracele week Sb G-ge12h//w.uL b. Did either girl already haye bracelets made ready to sell? Show your work and explain your reasoning. so(to) +14 30(öAb Write an equation to represent the number of bracelets each girl makes. d. Are thd relationships proportional? Explain your reasoning. Michele is al o mal ån bracelets for the street fair and has no bracelets ready to sell. At the end of 15 weeks she has 450 bracelets made. Does Michele make bracelets at the same rate as Casey or Allison? Explain your reasoning. 29. Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts sold are cashews. a. Write a ratio to represent the number of boxes of cashews sold to the total number of boxes of nuts sold. 3: 7 | @ 40 Q b. Complete the table of values. Total Boxes of Nuts of Cashews Sold Sold 14 21 35 56 70 20 3D qu SO c. Graph this problem situation on the coordinate plane. sold d. Margo's friend sold a total of 112 boxes of nuts. Of the total boxes she sold, 28 boxes were cashews. Margo said her sale of cashews was better than her friend's. Is Margo correct? Explain your reasoning o rs Corr 15 7 m-.l.o If 2.- (f % D,zf 30. Which line represents a proportional relationship? a. Yl b. Y2 lop) 31. The ratio of boys to girls at a school dance is shown in the graph. 123456789 Numba of Gris Which equation has a greater rate of change than the rate shown in the graph? y——x y =—x y =—x 16