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PDP2_HW_Fall08

# PDP2_HW_Fall08 - MAT 170 Precalculus Proportional Reasoning...

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Page 1 MAT 170 Precalculus Proportional Reasoning Homework Pathways to Calculus Fall 2008 portional Reasoning Homework Pathways to Calculus Fall 2008 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. you naturally took (constant multiplier, constant ratio, or scaling). Why did you choose your approach opposed to the other approaches? c. 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. Page 1 of 13 P MAT 170 Precalculus Proportional Reasoning Homework Pathways to Calculus Fall 2008 portional Reasoning Homework Pathways to Calculus Fall 2008 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. c. Determine the total number of jellybeans in the jar. Take note of which approach to this problem you naturally took (constant multiplier, constant ratio, or scaling). Why did you choose your approach opposed to the other approaches? Page 2 of 13 P MAT 170 Precalculus Proportional Reasoning Homework Pathways to Calculus Fall 2008 Determine which mixture tastes more horangey.h Take note of which approach this problem How could you change mixture B so that the horangeyh flavor is exactly the same as mixture A? h

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PDP2_HW_Fall08 - MAT 170 Precalculus Proportional Reasoning...

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