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Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more complex bracelets and Danica makes the simpler ones. It takes Darrelle 4 hours to make 3 bracelets and Danica can make 5 bracelets every 2 hours. a. Convert this scenario into linear equation(s); show both the standard form and the slope-intercept form of your equation(s). b. Could any part of this scenario be graphed using any of the special functions discussed in the course text? Explain your answer. c. Each bracelet Darrelle sells makes $10.50 in profit. Each bracelet Danica sells makes $3.50 in profit. If Darrelle and Danica work the same amount of time, explain each of the steps you will use and then calculate how many hours will it take for the whole business to make at least $500 profit?

Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more complex bracelets and Danica makes the simpler ones. It takes Darrelle 4 hours to make 3 bracelets and Danica can make 5 bracelets every 2 hours. a. Convert this scenario into linear equation(s); show both the standard form and the slope-intercept form of your equation(s). b. Could any part of this scenario be graphed using any of the special functions discussed in the course text? Explain your answer. c. Each bracelet Darrelle sells makes $10.50 in profit. Each bracelet Danica sells makes $3.50 in profit. If Darrelle and Danica work the same amount of time, explain each of the steps you will use and then calculate how many hours will it take for the whole business to make at least $500 profit?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Title: Exploring Linear Equations in Business Scenarios** **Text:** Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more complex bracelets and Danica makes the simpler ones. It takes Darrelle 4 hours to make 3 bracelets, and Danica can make 5 bracelets every 2 hours. **Task:** a. **Convert this scenario into linear equation(s); show both the standard form and the slope-intercept form of your equation(s).** b. **Could any part of this scenario be graphed using any of the special functions discussed in the course text? Explain your answer.** c. **Each bracelet Darrelle sells makes $10.50 in profit. Each bracelet Danica sells makes $3.50 in profit. If Darrelle and Danica work the same amount of time, explain each of the steps you will use and then calculate how many hours will it take for the whole business to make at least $500 profit?** **Graph/Diagram Description:** (No graphs or diagrams are included in the image; however, students are encouraged to create their own graphs to visualize the rate of bracelet production and profit over time, using their equations.)
Transcribed Image Text:**Title: Exploring Linear Equations in Business Scenarios** **Text:** Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more complex bracelets and Danica makes the simpler ones. It takes Darrelle 4 hours to make 3 bracelets, and Danica can make 5 bracelets every 2 hours. **Task:** a. **Convert this scenario into linear equation(s); show both the standard form and the slope-intercept form of your equation(s).** b. **Could any part of this scenario be graphed using any of the special functions discussed in the course text? Explain your answer.** c. **Each bracelet Darrelle sells makes $10.50 in profit. Each bracelet Danica sells makes $3.50 in profit. If Darrelle and Danica work the same amount of time, explain each of the steps you will use and then calculate how many hours will it take for the whole business to make at least $500 profit?** **Graph/Diagram Description:** (No graphs or diagrams are included in the image; however, students are encouraged to create their own graphs to visualize the rate of bracelet production and profit over time, using their equations.)
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