Description
This assignment is a 6-8 page paper that explores an application of mathematics to a practical everyday sort of problem.
Guidelines:
- Typed, Font/Times New Roman, size 12, double spaced, use APA format
- Check for spelling and grammar
- It has to be fully documented, well organized, supported with detailed explanations andconclusions.
- It should contain any graphs, diagrams, figures, or data that are needed for a full exposition. Mostimportant, the project must have mathematical content.
Organization:
- A cover pageshowing the title and author.
- It must have an introductionthat explains the problem and gives relevant backgroundinformation.
- The main bodyshould explain in detail the procedures used to solve the problem and presentinteresting observations that you made.
- The conclusionmust give a concise summary of your results and give possibilities for futurework on the problem.
- The work must include at least three references(books, papers from the literature, or websources). - Wikipedia is not an acceptable source.
Topics:
The following project ideas are meant to be only starting points. You should go beyond the given suggestions by posing related questions, carrying out interesting experiments, and extending the stated questions. Supporting units from the text are also given below. Remember your project must focus on the mathematical aspects of the topic.
- Car Lease. Give the advantages and disadvantages of leasing a car. Determine all the individual costs involved when leasing a car. Indicate why you would prefer to lease or purchase a car at the present time. Write an equation to describe the data, use your data and equation to approximate the cost of a car and fees in 2021. Cross reference Chapter 2
- Mortgage Shopping. Compare the monthly payments for two types of mortgages: fixed rate and variable rate for 16 years. For which years would the monthly payment be more for the fixed rate than the variable rate? In what year would the payment be the same? In year 10 what are the fixed rate and variable rate payments monthly payments?. Cross reference chapter 3.
- Balls, Arrows, Missiles and Stones. When you throw a ball (or shoot an arrow, fire a missile or throw a stone) it goes up into the air, slowing as it travels, then comes down again faster and faster ... and a Quadratic Equation tells you its position at all times! Example: Throwing a Ball A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground? Be sure to include the equation, graph and explanation of why the quadratic equation works in this case. Cross reference Chapter 5
- The Rhind Papyrus indicates that the early Egyptians used linear equations. Research on the symbols used in linear equations and the use of linear equations by the early Egyptians. Cross reference Chapter 1
- Distance - Time - Rate.A common set of physics problems ask students to determine either the speed, distance, or travel time of something given the other two variables. These problems are interesting since they describe very basic situations that occur regularly for many people. For example, a problem might say: "Find the distance a car has traveled in fifteen minutes if it travels at a constant speed of 75km/hr." Often in these problems, we work with an average velocity or speed, which simplifies the laws of motion used to calculate the desired quantity. Research a situation in which distance, time and rate applied. Include equations and explanations. Cross reference Ch 6
- Inverse functions. Research what are inverse functions and how are these functions use. Provide an example and explain it. Cross reference Chapter 10
The Cover page and graphs/diagrams are included in the 6-8 pages.
Explanation & Answer
Attached. Please let me know if you have any questions or need revisions.
Running Head: USING ALGEBRA IN REAL LIFE SITUATIONS
USING ALGEBRA IN REAL LIFE SITUATIONS
Student name
Lecturer name
Course
Date
1
USING ALGEBRA IN REAL LIFE SITUATIONS
2
Time is the most important resource we have and everybody tries to maximize the utility
of time to achieve the most. Formula One is the most famous car racing that gained its popularity
after world war II. Formula One name simply means it is the top racing category in the FIA and
it follows a set of rules that the racers have to adhere to in order to participate. Formula One
racing is built under three most important variables; distance, time and speed. The race is within
a certain given distance that the racers have to cover. The speed and time is determined by a
racers’ expertise in driving. The winner is determined by the time the driver uses to cover the
given distance. The less the time consumed, the more the points the driver gets.
For a driver to maximize on the time consumed in a race, he or she has to ensure that the
car moves at the maximum speed possible between two given points in a race. The field tracks
are built in way that there are straight runways, tilts and corners. The straight runways are areas
where the maximum speed can be achieved. Tilts and corners are meant to reduce the speed
through which the car moves to avoid falling or losing control. After the speed of the car is
minimized to go past a corner or a tilt, the car will then need to accelerate in order to achieve
maximum speed once again. Given this simple nature of the race which depends on the driver’s
ability to maximize the speed through which he or she uses to finish the race, the racers and their
organizers calculate the way they are going to race before they get in to the actual race. The
racers are given the layout of the field tracks, and from that layout, they calculate the maximum
speed they can use to move within the shortest time possible.
The calculations start with a very simple formula (Searle, 1999):
distance (d) = speed (v) × time (t)
In a Formula One rac...
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