Week #1 Checkpoint Chapter 3 - JustAnswer



Name: | | |

|Score | |

Instructions: For each assigned problem show your complete solution in the left column under each problem. Show all work for each problem (using either MathType or Equation Editor) in order to receive credit. Be sure to reduce all fractions to lowest terms. If there is no work to show then explain in words how you solved the problem. Points will be deducted if there is insufficient explanation or work.

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|Problems |Instructor’s comments |

|(Enter your work and answer in this column) | |

|Section 5.1 – pp. 381-383, # 8, 24, 34 | |

|8. (3 pts) Write in simplest form: The ratio of [pic] | |

| | |

|= [pic] | |

|24. (3 pts) Write in simplest form: The ratio of 7 dimes to 3 quarters. | |

| | |

|[pic] | |

|34. (3 pts) Crafts. Marc took 3 hours (h) to mow a lawn while Angelina took 150 | |

|minutes (min) to mow the same lawn a week earlier. Write the ratio of Marc’s time to | |

|Angelina’s time as a ratio of whole numbers. | |

| | |

|[pic] | |

|Section 5.2 – pp. 390-392, #14, 30 | |

|14. (3 pts) Find the rate: | |

|[pic] | |

| | |

|= 40 lb/lawn | |

|30. (3 pts) Which is the better buy: 5 lb of sugar for $4.75 or 20 lb of sugar for | |

|$19.92? | |

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|4.75/5 = $0.95 per lb | |

|19.92/20 = $0.996 per lb | |

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|First one is a better buy. | |

|Section 5.3 – pp. 400-402, # 10, 28, 48 | |

|10. (3 pts) Write the proportion: If Maria hit 8 home runs in 15 softball games, then | |

|she should hit 24 home runs in 45 games. | |

| | |

|[pic] | |

|28. (3 pts) Determine whether the pair of fractions is proportional. | |

|[pic] | |

|75 = 5 x 15 | |

|120 = 8 x 15 | |

|They are proportional | |

|48. (3 pts) Determine if the rates are equivalent. | |

|[pic] | |

| | |

|0.00144 ≠ 0.00726 | |

|rates are not equivalent | |

|Section 5.5 – p. 415, # 16 | |

|16. (3 pts) Business and finance. A store has T-shirts on sale at 2 for $5.50. At this| |

|rate, what do five T-shirts cost? | |

| | |

|[pic] | |

|Activity 15 -- Burning Calories. 420 # 1 - 7 | |

| (3 pts) (Refer to text for complete information) | |

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|1. If a person jogs at a rate of [pic]mi/h for [pic] h in a week, how many calories do| |

|they burn? | |

|energy consumption: 740 cal/h | |

|[pic]calories | |

| | |

|2. If a person runs in place for 15 minutes, how many calories will be burned? | |

|energy burned: 650 Cal/h | |

|[pic] Calories | |

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|3. If a person cross-country skis for 35 minutes, how many calories will be burned? | |

|energy burned: 700 Cal/h | |

|[pic] Calories | |

| | |

|4. How many hours would a person have to jump rope in order to lose 1 pound? (Assume | |

|calorie consumption is just enough to maintain weight, with no activity.) | |

|energy burned: 750 Cal/h | |

|3500 calories to be spent to lose 1 lb | |

|[pic] | |

| | |

|5. At what rate would a 120-pound person burn calories while bicycling at 12 mi/h? | |

|[pic] | |

|328 Cal/h | |

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| | |

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|6. At what rate would a 180-pound person burn calories while bicycling at 12 mi/h? | |

|[pic] | |

|492 Cal/h | |

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|7. How many hours of jogging at 5 mi/h would be needed for a 200-pound person to lose | |

|5 pounds? (Again, assume calorie consumption is just enough to maintain weight, with | |

|no activity.) | |

|[pic] | |

|x = 986.67 Cal/h | |

| | |

|[pic] | |

|y = 17500 Calories needed to be spent, | |

| | |

|[pic] | |

|Hours = 17.74 | |

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