Solving Proportion Problems: Estimating Bear Weights & Costs

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Jomo Kenyatta University of Agriculture and Technology, Nairobi *

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130

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Statistics

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Nov 24, 2024

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docx

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Uploaded by MegaRock12639

1 UNIT 1 ASSIGNMENT - SOLVING PROPORTION PROBLEMS PART 1 1. What type of information would you need to know to be able to accurately estimate the number of regular bears (the green bear in the middle) it would take to equal the weight of the super bear? Explain your thought process. To accurately estimate the number of regular bears it would take to equal the weight of the super bear, we would need to know the following information: i) The weight of the super bear: We need to know the weight of the super bear, to be able to do calculations to estimate the number of regular bears it would take to equal its weight. ii) The weight of a regular bear: We would also need to know the weight of a regular bear. For example, if the green bear weighs 10 pounds and a regular bear weighs 200 pounds, we can estimate that it would take 20 regular bears to equal the weight of the green bear. 2. Click on this link to see the ratio of the bear's quantity to weight. Write it down. Mini Bear = 12.1g for 10 Regular Bear So the wight of one Mini bear is 12.1/10 =1.21 Regular Bear = 23.1g for 10 Regular Bear So the weight of one Regular bear is 23.1/10 =2.31 Super Bear = 2250g for one bear 3. Using proportions to determine approximately how many mini-bears weigh the same as one super bear (if a decimal, round answer to the nearest whole number). Show all your work. 1 Super Bear=2250 Mini bears =1.21 1=1.21 ?=2250 = 2250*1/1.21 = 2250/1.21 = 1850.504 = 1851 mini bears. PART 2 4. What is the per-unit cost of one mini bear? Show it as a ratio and as a decimal rounded to two decimal places.

2 352 mini bears = 6.99 352:6.99 1:0.02 One mini bear cost 0.02 5. Based on your answer to Question #3, if the cost of an item is based on its weight, what would be the cost of one super bear? Show your work and explain your answer. 1 super bear= 1851 mini bears One mini bear cost 0.02 So one super bear = 0.02*1851 =37.02 This is in subject to the assumption that the cost of an item is proportional to its weight.

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