3. Tamir has recently begun a new job of selling custom bracelets! Tamir's sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, when he sold 9 bracelets he made a $94 profit. a. Write an equation in point slope form that could model this scenario. b. Which of the following could be the graph of Tamir's profit? Explain how you Graph 1: Graph 2: ++ know.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**3.** Tamir has recently begun a new job of selling custom bracelets! Tamir’s sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, and when he sold 9 bracelets, he made a $94 profit.  
**a.** Write an equation in point-slope form that could model this scenario.

**b.** Which of the following could be the graph of Tamir’s profit? Explain how you know.  
Graph 1:   
Graph 2:

**Explanation of Graphs:**

- **Graph 1:** The graph shows a line with a positive slope. It starts from the third quadrant (bottom left) and moves upwards through the first quadrant (top right), indicating an increasing profit as the number of bracelets sold increases.

- **Graph 2:** The graph shows a line with a positive slope starting from close to the origin on the horizontal axis and going up to the right towards the first quadrant, suggesting profit starting from zero and increasing as sales increase.
Transcribed Image Text:**3.** Tamir has recently begun a new job of selling custom bracelets! Tamir’s sales have been growing every week and now he is looking to analyze his profit. Specifically, Tamir is looking to find how much his cost of goods is for his business of selling bracelets. Luckily, Tamir sells each bracelet for the same price and has recorded that when he sold 4 bracelets he made a $39 profit, and when he sold 9 bracelets, he made a $94 profit. **a.** Write an equation in point-slope form that could model this scenario. **b.** Which of the following could be the graph of Tamir’s profit? Explain how you know. Graph 1: Graph 2: **Explanation of Graphs:** - **Graph 1:** The graph shows a line with a positive slope. It starts from the third quadrant (bottom left) and moves upwards through the first quadrant (top right), indicating an increasing profit as the number of bracelets sold increases. - **Graph 2:** The graph shows a line with a positive slope starting from close to the origin on the horizontal axis and going up to the right towards the first quadrant, suggesting profit starting from zero and increasing as sales increase.
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