This project is 5% of the semester grade. Write legibly and be sure to answer questions completely. All calculations must be shown in an organized manner. If you do not write legibly, you need to type this assignment. There are two parts to this assignment. If you have any questions regarding this assignment, send me an email and we can set up a meeting if necessary. Part 1: Given: Max and Maggie are getting married. They are planning the reception, and have come up with the following data: 1. The reception hall is going to cost $2550 to rent. 2. The reception hall will house a maximum of 470 people. 3. The reception will last three hours. 4. Each person’s dinner is going to cost $19.75. 5. On average, every person that drinks alcohol will cost an extra $21. 6. About two-third of the attendees will drink alcohol. 7. Each piece of wedding cake will cost $1.35. 8. 93% of the guests will eat a piece of wedding cake. 9. The DJ is going to charge $130 per hour. 10. The decorations (flowers, streamers, bobble-head representation of the groom, etc.) are going to cost $1200. Answer the following 4 questions. Be sure to show all calculations. If you wish to show work on a piece of notebook paper, make sure you scan all pages in for the final submission as a single document. You do not have to type this up. You can print it out, do the work, scan the papers, and email them to me. The project must be emailed as a single pdf. If you do not write neatly, please type this project. 1. Write an algebraic formula to represent the cost 𝐶(𝑥) of x people attending their reception. The formula must be simplified, which means all like terms combined. Be sure to define the variable. 2. How much would the reception cost if 326 people attended? Show calculations and explain answer. 3. How many people could come if Max and Maggie have a total of $20,000 to spend? Show calculations and explain answer. 4. If Max and Maggie had $22,000, could they fill the reception hall to capacity? Show calculations and explain answer. Part 2: Come up with at least 1 real-world problem that you think can be solved using concepts other than linear equations taught in MATH 1310 like circles, quadratic equations, polynomials, etc. Your etext is a valuable resource to get ideas for real world problems so if you get stuck, this is a good place to start. Follow the steps below. 1: Define the problem and describe the problem in detail. Include any diagrams if applicable. 2: Propose a Solution: Propose how you would go about solving this problem using anything from College Algebra. 3: Application/Analysis: Work out the problem and analyze the results. 4: Conclusion: Can the College Algebra techniques you are applying here be used to solve other types of real-world problems? Explain.
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