A beverage company manufactures and fills juice cans. They spend $0.02 on materials for each can, and fill each can with $0.15 worth of juice. The marketing team wants to make a jumbo version of the can that's a dilated version of the original. They can spend at most $0.18 on materials for the new can. There's no restriction on how much they can spend on the juice to fill each can. The team wants to make the new can as large as possible given their budget. 1. By what factor will the height of the can increase? Explain your reasoning. 2. By what factor will the radius of the can increase? Explain your reasoning, 3. Create drawings of the original and

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.10: Systems Of Measurement
Problem 1.287TI: Laura gave birth to triplets weighing 3 pounds 3 ounces, 3 pounds 3 ounces, and 2 pounds 9 ounces....
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A beverage company manufactures and fills juice cans. They spend $0.02 on materials for each can, and fill each can with $0.15 worth of juice. The marketing team wants to make a jumbo version of the can that's a dilated version of the original. They can spend at most $0.18 on materials for the new can. There's no restriction on how much they can spend on the juice to fill each can. The team wants to make the new can as large as possible given their budget. 1. By what factor will the height of the can increase? Explain your reasoning. 2. By what factor will the radius of the can increase? Explain your reasoning, 3. Create drawings of the original and jumbo cans, including dimensions. 4. What geometric solid do the cans resemble? 5. What will be the total cost for materials and juice fill for the jumbo can? Explain or show your reasoning.
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