SpringBoard Math Course 2 Unit 3 Part A Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. If cup of coconut shavings covers of a cake, then how much coconut shavings are needed for one cake? A. B. ____ cup cup ____ D. 10 cups C. The dragonfly is 20.5 feet per second faster. D. The butterfly is 32 feet per second faster. 3. The table below represents the proportional relationship between the number of tickets purchased for a concert and the total cost of the tickets. Using the relationship from the table, what would be the total cost of 4 concert tickets? Number of Tickets Purchased 1 3 7 Total Cost of Tickets $22.50 $67.50 $157.50 A. $45.00 B. $67.50 C. $90.00 D. $202.50 4. What is the constant of proportionality in the equation A. y B. 16.41 ____ cups 2. A butterfly can fly 82 feet in four seconds and a dragonfly can fly 50 feet in two seconds. Which can fly faster and by how much? A. The dragonfly is 4.5 feet per second faster. B. The butterfly is 4.5 feet per second faster. ____ C. ? C. z D. 5. The cost of a notebook increased from $4.30 to $4.58, what is the percent increase? A. 5.5% C. 6.5% B. 6% D. 7% ____ 6. The graph below represents the number of students Sandra tutors per hour. What does the point (20, 60) mean in this situation? y 85 80 75 70 65 Number of Students 60 55 50 45 40 35 30 25 20 15 10 5 5 10 15 20 25 30 35 40 45 x Hours A. Sandra will have tutored 60 students in 20 hours. B. Sandra will have tutored 20 students in 60 hours. C. Sandra will tutor 20 students and then 60 students. D. Sandra has a unit rate of tutoring of a student per hour. ____ 7. One pack of pencils currently costs $1.19. The cost of one pack of pencils is projected to increase by 135% in the next 5 years. What is the projected cost of a pack of pencils 5 years from now? (Round your answer to the nearest cent.) A. $0.42 B. $1.61 C. $2.80 D. $5.95 8. Semaya drews a scale model of the garden she wants to plant, shown below. Her scale is 1 cm = 2.5 feet. 4 cm ____ 8.5 cm What will be the actual dimensions of Semaya’s garden? A. 1.6 ft 3.4 ft C. 6.5 ft 11 ft B. 1.5 ft 6 ft D. 10 ft 21. 25 ft ____ 9. A person who is hired as aTechnical Assistant at a software company starts at a pay rate of $13 per hour. After 6 months and a good employee review the Technical Assistant can earn a raise of 15%. What would be the new hourly pay rate for a Technical Assistant who has earned this raise? A. $0.90 B. $1.95 ____ 10. If Greg can build A. B. C. $13.90 D. $14.95 of a brick wall in of an hour, what is his unit rate? of a brick wall per hour of a brick wall per hour C. brick walls per hour D. 7 brick walls per hour ____ 11. Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes? A. 30 min B. 300 min C. 450 min D. 600 min ____ 12. The table shows how much a store charges for certain numbers of pencils. Number of Pencils, p 4 7 11 Cost, c $0.48 $0.84 $1.32 Which equation could be used to calculate the cost, c, of any number of pencils, p? A. B. C. D. ____ 13. Which equation represents the proportional relationship of the total amount of money earned, m, to the number of hours worked, h, at a pay rate of $19 per hour? A. C. B. D. ____ 14. The graph below shows the number of toy pianos a toy company builds per hour. Which point on the graph means “20 toy pianos are built in 5 hours”. y Number of Toy Pianos Built 40 35 30 25 20 15 10 5 1 2 3 4 5 6 7 8 9 10 x Hours A. (1, 4) B. (5, 20) C. (20, 5) D. (4, 5) ____ 15. One gallon of milk currently costs $4.17. The cost of one gallon of milk is projected to increase 106% in the next 2 years. What is the projected cost of one gallon of milk 2 years from now? A. $0.25 B. $8.34 C. $8.59 D. $13.01 9 ft ____ 16. The rectangle below represents the carpet in Jack’s bedroom. 12 ft If the carpet above is enlarged using a scale factor of 2.5, what will be the area of the new carpet? (Hint: Area of a rectangle = length width) A. 17.28 square feet B. 105 square feet C. 108 square feet D. 675 square feet ____ 17. The cost of a sweater at a clothing store was $35. The sweater went on sale at a discount of 20% off the original price. What is the sales price of the sweater? A. $3.50 B. $28 C. $35 D. $77 ____ 18. Alexander is is taking 15 credit-hours this semester at college. The relationship between tuition and credit hours is shown by the graph below. y 4800 4400 4000 3600 3200 Tuition 2800 2400 2000 1600 1200 800 400 1 2 3 4 5 6 Credit Hours 7 8 9 x What is the constant of proportionality in this situation? A. 15 B. 26.67 C. 400 D. 6,000 ____ 19. Chan built a scale model of a statue. He built the model 8 inches tall to represent the actual height of 15 feet. Which equation below represents the relationship between the actual height, S, in feet, and the height of the model, m, in inches? A. C. B. D. ____ 20. The Acosta family went out to dinner. The price of the meal was $79.85. If the tip was 15%. How much money did the Acosta family pay for the meal, including tip? A. $11.98 B. $67.87 C. $91.83 D. $94.85
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