PDP2_HW_Fall08 - MAT 170 Precalculus Proportional Reasoning...

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MAT 170 Precalculus Proportional Reasoning Homework Pathways to Calculus Fall 2008 © 2008 Carlson and Oehrtman Page 1 of 13 1. Consider the following task: Orange Juice Problem Mixture A of orange juice contains 4 cups of OJ flavor and 2 cups of water. Mixture B of orange juice contains 5 cups of OJ flavor and 3 cups of water . Which mixture tastes more 'orangey' and why? a. What quantities are involved in this situation? Be as explicit as possible. b. Determine which mixture tastes more “orangey.” Take note of which approach this problem you naturally took (constant multiplier, constant ratio, or scaling). Why did you choose your approach opposed to the other approaches? c. How could you change mixture B so that the ‘orangey’ flavor is exactly the same as mixture A? Provide at least 3 mixture scenarios that would yield the same flavor as mixture A. Explain why these scenarios would yield the same flavor taste.
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MAT 170 Precalculus Proportional Reasoning Homework Pathways to Calculus Fall 2008 © 2008 Carlson and Oehrtman Page 2 of 13 2. Consider the following task: Jellybean Problem Rebecca has a jar of yellow jellybeans. She adds 58 purple jellybeans to the jar and shakes them up so the yellow and purple jellybeans are mixed very well. She then takes out a scoop of 90 jellybeans, and 15 of them are purple. She returns all of the jellybeans into the jar. Based on this information, estimate the total number of jellybeans in the jar. a. What quantities are involved in this situation? Be as explicit as possible. b. Assuming the sample Rebecca took is a good representation of the total sample, are there quantities that are proportional to each other? Explain your thinking.
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This note was uploaded on 09/17/2008 for the course MATH 170 taught by Professor Drcarlson during the Fall '08 term at University of Arizona- Tucson.

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PDP2_HW_Fall08 - MAT 170 Precalculus Proportional Reasoning...

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