Category: Algebra

Kyle went to the market to buy Good X. He was willing to pay up to $2.50 per unit of the good. However, he expected some units of the good to be defective. Therefore, when the seller asked a price of $2.30 per unit, he refused to pay more than $2 for each unit. If the seller knows which units of the good are defective, what is most likely to happen in this case?
A company facing the problem of moral hazard decided to lay off some workers during a recession instead of lowering wages. What is the possible reason for such a decision?
Some health insurance companies pay only 70 percent to 80 percent of the medical costs incurred by their customers. What is the reason for this?
Used cars in Matteson sold for about 20 percent less than new cars of the same model manufactured in the same year. However, price differences were reduced when certified used car dealers entered the market for used cars in Matteson. What explains this phenomenon?
Why do the owners of good-quality used cars stay away from the market for used cars?
you most show work

Hello! Please let me know if you have any questions. Attached are the questions on the first page. There is no other necessary materials before starting. Please make sure to have clear handwriting. Make sure the number nine does not look like the letter g. Make sure the variable x looks like an x and not some other type of symbol. Overall, please have neat and legible handwriting. Please only use the indicated methods asked for in the directions. If you have any questions please message me. I will be happy to clear anything up. Their are example problems in the PDF as well, the pages attached have titles at the top to what question they refer to. Again, please feel free to contact me with any questions. MUST complete the problems using the specific method asked. Please refer to other example questions for more guidance, and please solve them the exact way mentioned and showed in the examples.

I need the work from part two that I did on the excel work sheet to be done on part 3 and 4 and must stay in excel format

Assignment Information:In this assignment, you will acquire the skills and knowledge to create the graph of function.
We will be utilizing graphs to comprehend the various functions in this course. Graphs can be transformed into reversible mathematical functions, making them a valuable tool in visualizing and analyzing mathematical concepts. It is crucial to master graphing skills to effectively complete future assignments. Geogebra, an online graphing calculator, will be used throughout this course.
Task 1. In this course, you will be instructed to use Geogebra to produce graphs. Discuss different features available in Geogebra related to graphs in this discussion forum such as point tools and axis settings. What are the steps to create a graph using Geogebra? Which features do you find interesting? Have you encountered any challenges while using it? You can also provide other comments related to creating graphs in Geogebra.
Your Discussion should be a minimum of 150 words and maximum 250 in length. Please include a word count. Following the APA standard, use references and in-text citations for the textbook and any other sources.

This assignment assesses your skills/knowledge on identifying functions, the domain and range, using functions to calculate the rate of change and extrema, and interpret the graphs of functions.
In order to model real-world scenarios and transformations with limits, it’s important for us to understand functions, domains, and ranges. Additionally, proficiency in rate of change and slopes helps with analyzing dynamic processes and data trends. Knowledge of extrema enables us to optimize problem-solving and time management. With this understanding, please answer the following questions and show stepwise calculations. Please explain your reasoning wherever necessary.
You are required to complete all the 5 tasks in this assignment. When you are instructed to make a graph in this assignment, please use GeoGebra graphing tool.
Task 1. Interpret the following graph in detail:
(i) Identify the domain and range.
(ii) Does this graph represent a function and a one-one function. Why/Why not? Provide a detailed explanation/justification.
Task 2. Before working on this task 2, please read the following readings:
Reading section 1.2 Functions of the following textbook will help you in understanding the concepts better.
Yoshiwara, K. (2020). Modeling, functions, and graphs. American Institute of Mathematics. https://yoshiwarabooks.org/mfg/colophon-1.html
Imagine that the export of Avocados from Indonesia is described by the relation:
E(P) = P – 10000, P ≥10000 where P represents the production (in thousand) of Avocados.
On the basis of the above scenario, answer the following questions:
(i) Draw the graph of E(P).
(Use graphing tool for drawing the graphs, use a scale where each unit represents one thousand on both the X and Y axes (Ex: consider 1= 1000)).
Using the graph:
(ii) Determine if E(P) is a function of P.
(iii) Find the domain and range of E(P).
(iv) Find how much export is done for 70 and 20 thousand of production.
(v) What are dependent and independent variables in this problem?
Task 3. The following graph (representing f and g) illustrates the relationship between the weights (y in tons) of two animals and their respective lengths (x in feet).
(i) In the event of intersection on the graph, determine the rates of change in length concerning weight for both categories. What conclusions can be drawn from this?
(ii) Select any two points on each of the graphs f and g (designated as C and D on f, and E and F on g, excluding O and A), and calculate the slopes of the lines CD and EF connecting them. What insights can be inferred about their slopes within the context of the problem? Please discuss your findings.
Task 4. Use the following graph to explain the local extrema of the function at the given points. Explain clearly how they differ from maximum and minimum values of function. Determine the intervals of all extrema shown in the graph (mention the intervals with the names Ex: (A, B) and specify whether they are increasing or decreasing).
Task 5. Before working on this task 5, please read the following readings:
Reading section 1.4 Function Notation (pages 61-62) of the following textbook will help you in understanding the concepts better.
Stitz, C., & Zeager, J. (2013). College algebra. Stitz Zeager Open Source Mathematics. https://stitz-zeager.com/szca07042013.pdf
In the highly prosperous nation of ‘W’, the income tax system is structured as follows:
a. Individuals earning up to $2200 are taxed at a flat rate of 10% of their income.
b. For those with incomes exceeding $2200 and up to $8945, the taxation scheme is bifurcated:
The first $2200 of income is taxed at 10%.
The remainder, above $2200 and up to $8945, is taxed at a rate of 18.5%.
c. If an individual’s income surpasses $8945, the taxation policy is delineated as follows:
The initial $2200 of income is taxed at 10%.
The subsequent income, above $2200 and up to $8945, is taxed at 18.5%.
Any income exceeding $8945 is taxed at a rate of 30%.
Based on the above scenario, answer the following questions:
(i) Represent the above rule that country W has made as a piecewise function mathematically using the symbol ≤ or any other relevant symbol.
(ii) Take any income that comes in each slab from the country W and calculate the tax for each segment.
Submission Settings:
Please answer all the 5 tasks in this Math Assignment.
You may write ONE word document that addresses the questions mentioned above. Read the rubric on how you are going to be graded on this assignment.
Use APA citations and references if you use ideas from the readings or other sources. For assistance with APA formatting, view the Learning Resource Center: Academic Writing.
The document should be double-spaced in Times New Roman font, which is no greater than 12 points in size.
Use high-quality, credible, relevant sources to develop ideas that are appropriate for the discipline and genre of writing.

Here is the project description from your syllabus.
Description
Projects can take various forms, such as Zines, lecture videos, exams with solutions manuals/grading rubrics, and more. These projects allow you to demonstrate your mastery of the material in ways that suit your learning style. Zines: Create a visually engaging zine that explains key concepts from a selected section. Use illustrations, diagrams, and concise explanations to convey the material.
Lecture Videos: Develop a series of short lecture videos covering specific topics within a section. Explain concepts, provide examples, and guide viewers through problem-solving. (Most strongly recommended) Exams with Solutions Manuals and Grading Rubrics: Design a comprehensive exam that tests understanding of a particular section. Include a solutions manual with detailed explanations and a grading rubric for self-assessment. (Strongly recommended) Interactive Online Modules: Create interactive online modules using platforms like HTML, CSS, or JavaScript. Include animations, quizzes, and simulations to illustrate concepts from various sections.
Graphical Representations: Develop graphical representations, such as infographics or posters, to visually explain the relationships and applications of concepts within a section.
Educational Board Games: Create an educational board game centered around calculus concepts. Include rules, game pieces, and questions that reinforce learning through play. (Strongly recommended) Peer Teaching Sessions: Organize and lead a peer teaching session on a specific topic. Prepare materials, examples, and engage your classmates in the learning process. (Strongly recommended) Mathematical Modeling Project: Develop a mathematical model for a real-world problem, applying the principles of calculus. Present your model, assumptions, and conclusions. (Strongly recommended) Data Analysis Project: Collect and analyze data, applying calculus concepts to draw conclusions. Present your findings and explain how calculus contributes to the interpretation of data.
Artistic Expression: Express calculus concepts through art, whether it’s through paintings, sculptures, or digital art. Use creativity to convey mathematical ideas.
Programming Project: Develop a computer program or script that simulates a calculus concept. Showcase your coding skills in solving mathematical problems. (Strongly recommended) Effort
An individual project should take you about 1 day of work (3-6 hours). If a project takes more work, please let me know and we can consider counting it for more. Sharing
Your project will require a presentation unless it is a video. Also, all projects will be shared with the class.
Examples
Here is a great video explaining one of the more interesting topics later in the semester. https://youtu.be/x-D4PbwLEso
Second, here is a more fun and creative project.https://youtu.be/x-f7Cb67v6I

the Special Homework assignment:
Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan are helping their fellow classmate Desmond search for a good deal regarding the purchase of a new Honda Accord automobile. After researching all the Honda dealers in this area, they have decided that they have found the best deal at Honda Cars of Rockwell, Texas.
The following is their best deal and they want to know what the monthly payment will be. The new Honda Accord is $36,250 and that includes an extended warranty, tax, title and license…(TT&L). To help reduce the cost of this purchase he will receive two discounts; one the Honda “Purchase Incentive” $500 off discount and the second is the College Student discount of $400. Jose has elected to make monthly payments for four years. He has a trade-in vehicle that will decrease his purchase cost of the new vehicle by $17,600. The Honda interest rate program is the best that he can find which is 3.9%.
All things considered Desmond is still hesitant to make the purchase. He cannot afford a monthly payment in excess of $400. John Freezer, General Manager of Honda Cars of Rockwall wants to help make Jose feel like he has the best price possible. Both Marcos and Julianna are also classmates of Desmond and they asked Mr. Freezer for anything else that can be done to make this car purchase possible. He decided to provide him an additional discount of .845% (.00845) and he rounded to the nearest dollar on the discount. Desmond supported by his research team of Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan believe that this is the best deal available.
Desmond decides on this purchase but wants to know what his monthly payments will be. What is his monthly payment? (Please note the amount to the nearest penny).
Your answer must be shown as a display on your TI calculator to me (Picture). You must also show your work separately on paper and send it to me. Also need a screen shot of TI calculations.

the Special Homework assignment:
Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan are helping their fellow classmate Desmond search for a good deal regarding the purchase of a new Honda Accord automobile. After researching all the Honda dealers in this area, they have decided that they have found the best deal at Honda Cars of Rockwell, Texas. The following is their best deal and they want to know what the monthly payment will be. The new Honda Accord is $36,250 and that includes an extended warranty, tax, title and license…(TT&L). To help reduce the cost of this purchase he will receive two discounts; one the Honda “Purchase Incentive” $500 off discount and the second is the College Student discount of $400. Jose has elected to make monthly payments for four years. He has a trade-in vehicle that will decrease his purchase cost of the new vehicle by $17,600. The Honda interest rate program is the best that he can find which is 3.9%. All things considered Desmond is still hesitant to make the purchase. He cannot afford a monthly payment in excess of $400. John Freezer, General Manager of Honda Cars of Rockwall wants to help make Jose feel like he has the best price possible. Both Marcos and Julianna are also classmates of Desmond and they asked Mr. Freezer for anything else that can be done to make this car purchase possible. He decided to provide him an additional discount of .845% (.00845) and he rounded to the nearest dollar on the discount. Desmond supported by his research team of Samuel, Rene, Hoang, Bailee, Nazgol, Lucas and Ryan believe that this is the best deal available. Desmond decides on this purchase but wants to know what his monthly payments will be. What is his monthly payment? (Please note the amount to the nearest penny). Your answer must be shown as a display on your calculator to me (Picture). You must also show your work separately on paper and send it to me. Also need a screen shot of the app that you use to make the calculations and screen shot the answer from the app that you use to make the calculations

1- Create a paragraph about the history of Functions and their importance in mathematics. 2- What are 5 real life examples of
relation and function?
3- What is the importance of
functions in real life?
Important requirements for the creation of the response:
Your initial post should be at least 100 words/numbers or a combination of both. Your initial post is worth 80 points.
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least one of your peers by extending or adding supplementary distinctions to their posts. Your reply posts are worth 20points All replies should contain a minimum of 30 words/numbers or a combination of both.
All replies must be constructive and use literature where possible.
Late work policies, expectations regarding proper citations, acceptable means of responding to peer feedback, and other expectations are at the discretion of the instructor.

Submission Instructions:
Your initial post should be at least 100 words/numbers or a combination of both. Your initial post is worth 80 points.
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least one of your peers by extending or adding supplementary distinctions to their posts. Your reply posts are worth 20points All replies should contain a minimum of 30 words/numbers or a combination of both.
All replies must be constructive and use literature where possible.Create a paragraph about the history of Functions and their importance in mathematics. What are 5 real life examples of relation and function?
What is the importance of functions in real life?
Excellent100% Satisfactory 75% Unsatisfactory 50% Poor25%1- Create a paragraph about the history of function and their importance in mathematics. Discussion posting display an excellent understanding of the readings and underlying concepts including correct use of terminology. Posting integrate an outside resource or relevant research. Discussion postings display an understanding of the required reading and underlying concepts including correct use of terminology and reference. Discussion postings repeat and summarize basic, correct information, but not link reading to outside references and do not consider alternative perspectives or connections between Ideas. Discussion posting shows litter or no evidence that reading was completed or understood. Postings are largely personal opinions or feelings, or without supporting statements from the readings, outside resources or relevant research.2- What are 5 real life examples of relation and function? Discussion posting display an excellent understanding of the real-life examples of relation and function.Posting integrate an outside resource or relevant research.Discussion posting display a good understanding of real life examples of relation and function, including correct use of terminology. Posting integrate an outside resource or relevant research. Discussion posting display understanding of the real-life examples of relation and function.including correct use of terminology. Discussion posting shows litter or no understanding of the real-life relation and function.including and correct use of terminology.
3- What is the importance of functions in real life? Discussion posting display an excellent understanding of the readings and underlying concepts including correct use of technology. Posting integrate an outside resource or relevant research. The connections are clear with examples relevant according to what is required. Discussion posting display a good understanding of the readings and underlying concepts including correct use of technology. Posting integrate an outside resource or relevant research. The connections are clear but without examples relevant according to what is required. Discussion posting display some understanding of the readings and underlying concepts including correct use of technology. The connections are clear but without examples relevant according to what is required. Discussion posting shows no evidence that reading was completed or understood. The connections are unclear and without examples relevant according to what is required.