Name: ____________________________________ Classwork (20 pts) CCS 7. rp.2 Ratios and Proportions 1. The table below shows the cost of donuts at a local bakery. Amount of Donuts Cost 3 $1.50 6 $3.00 8 $4.00 12 $6.00 Assuming the amount of donuts is proportional to the cost, how much would 30 donuts cost? A. B. C. D. $14.50 $15.00 $30.00 $60.00 2. Which of the following is a true statement? A. B. C. D. 5 : 10 = 3 : 9 5 : 10 = 4 : 8 8 : 4 = 5 : 10 5 : 10 = 10 : 15 3. Which value of x will make the fraction, A. B. C. D. , equivalent to ? 10 20 15 30 4. A letter weighs 32 grams. How many kilograms does the letter weigh? A. B. C. D. 3.2 0.032 0.32 320 5. The parks department is filling the pool for the summer season. The amount of water, w, in the pool is proportional to the amount of hours, h, the pool is filling as shown in the graph below. Which equation represents this relationship? A. B. C. D. g = 2h g = 25h h = 25g g = 50h 6. At the grocery store, you can purchase loose lemons at 2 for $0.99. You can also buy a bag of 6 lemons for $2.50. Which is the better buy? A. 2 for $0.99 B. bag of 6 7. Gina had two-sevenths of all the goals scored by her soccer team. Her team scored 28 goals this past season. How many goals did the rest of the team score? A. B. C. D. 24 22 20 8 8. Aiden put two-fifths of his money into his piggy bank. He had $15 left in his pocket to buy a toy. How much money did Aiden have before he put some into his bank? A. B. C. D. $30 $25 $10 $15 9. Carl recently purchased a new washing machine to become more energy efficient. The graphs below represent the water usage for his old and new washing machine. What is the difference in the constant of proportionality between the two washing machines? A. B. C. D. 1.00 gallons/minute 1.25 gallons/minute 2.50 gallons/minute 3.75 gallons/minute 10. If a load of soil weighs 1.25 tons, how many ounces does the load weigh? A. B. C. D. 400,000 4,000 40,000 4,000,000 11. The graph of four different cell phone plans is shown below. Which graph represents a proportional relationship? A. B. C. D. 12. Maritza is planning a party. She wanted to buy cans of soda for all of her guests to enjoy. The graph below shows the cans of soda needed for the guests she invites. Which point on the graph represents “If 6 guests are invited, Maritza must buy 12 cans of soda”? A. B. C. D. (4, 8) (6, 12) (1, 2) (12, 6) 13. Which value of x will make the fraction, A. B. C. D. , equivalent to ? 6 8 14 16 14. The distance Philip jogs is proportional to the amount of time he spends jogging. If Philip jogged 3 of an hour, what is his constant of proportionality? A. B. 2 C. 4 D. 4 miles yesterday in 15. A developer just bought 160 acres of land on which she plans to build new homes. What is the measurement of the area of the land in square miles? A. B. C. D. 0.25 square miles 1 square miles 0.5 square miles 1.5 square miles 16. Henry completed a 20-mile bike ride in 4 hours. Josie completed a 30-mile bike ride in 5 hours. If both riders continue at those speeds, how many more miles can Josie ride in 1 hour as compared to Henry? A. 1 mile B. 10 miles C. of a mile D. of a mile 17. The graph below shows the cost of amusement park ride tickets. What is the constant of proportionality? A. B. C. D. $0.75 $4.50 $9.00 $18.00 18. If the average 6th grade students can type 165 words in 3 minutes, how can this ratio be written to show words per minute? A. B. C. D. 19. Use the diagram below to answer the question. Which of the following functions graphed on the coordinate plane above represent a proportional relationship? A. B. C. D. Function A Function B Function C Function D 20. Candelicious is having a sale and has adjusted the price that it sells its candy at according to its weight in pounds. Find the constant of proportionality for the situation above if there is one. A. B. C. D. $0.40 $2.50 $5.00 The two quantities do not have a constant of proportionality.
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