# Week 1 Algebra Question

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Mathematics

MATH 122

Colorado State University Global Campus

MATH

### Question Description

I’m working on a algebra exercise and need support to help me study.

#### WEEK 1 , OPTION #1:** BUYING A NEW CAR**

Suppose you want to buy a new car and are trying to choose between two models:

- Model A: costs $16,500 and its gas mileage is 25 miles per gallon and its insurance is $250 per year.
- Model B: costs $24,500 and its gas mileage is 40 miles per gallon and its insurance is $450 per year.

If you drive approximately 40,000 miles per year and the gas costs $3 per gallon:

- Find a formula for the total cost of owning Model A where the number of years you own the car is represented by
*x*. - Find a formula for the total cost of owning Model B where the number of years is the independent variable.
- Find the total cost for each model for the first five years.
- If you plan to keep the car for 4 years, which model is more economical? What about if you plan to keep it for 6 years?
- Find the number of years in which the total cost to keep the two cars will be the same.
- Identify the number of months where neither car holds a cost of ownership advantage.
- What effect would the cost of gas doubling have on cost of ownership? Graph or show hand calculations.
- If you can sell either car for 40% of its value at any time, how does the analysis change? Graph or show hand calculations.

**Requirements:**

- Your paper should be 2-3 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.
- Include a title page, introduction, body, conclusion, and a reference page.
- The introduction should describe or summarize the topic or problem. It might discuss the general applications of the topic or it might introduce the unique terminology associated with the topic.
- The body of your paper should address the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.

- The conclusion should summarize your thoughts about what you have determined from your analysis in completing the assignment. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.

- Include any tables of data or calculations, calculated values, and/or graphs referenced in the paper. (Note: The minimum required length excludes any tables, graphs, etc.)
- Document formatting, citations, and style should conform to APA style and examples can be found in the following links:

- Citing and APA Resources (Links to an external site.): document formatting, citations, and style
- New Sample APA Paper (Links to an external site.): A short summary containing much that you need to know about paper formatting, citations, and references
- CSU Global Writing Center (Links to an external site.): many helpful areas, such as: Writing Center, Writing Tips, Template Examples/Papers Essays, and others=================================================================================================================WEEK 2

#### OPTION #1:

**FENCING A FARMER’S FIELD**As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area. Select the amount of fencing you have, in feet, and address the following prompts: if you have 1200 feet of fencing.

- Draw several diagrams to express the situation and calculate the area for each configuration then estimate the dimension of largest possible field.
- Find the function that models the area in terms of one of its sides.
- Find the point that maximizes the function you found in above.
- Calculate the area of the field at the point you calculated and then compare your results with the estimates you made based on your diagram.

**Requirements:**- Your paper should be 2-3 pages in length (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.
- Include a title page, introduction, body, conclusion, and a reference page.
- The introduction should describe or summarize the topic or problem. It might discuss the general applications of the topic or it might introduce the unique terminology associated with the topic.
- The body of your paper should address the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.

- The conclusion should summarize your thoughts about what you have determined from your analysis in completing the assignment. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.

- Include any tables of data or calculations, calculated values, and/or graphs referenced in the paper. (Note: The minimum required length excludes any tables, graphs, etc.)
- Document formatting, citations, and style should conform to APA style and examples can be found in the following links:

- Citing and APA Resources (Links to an external site.): document formatting, citations, and style
- New Sample APA Paper (Links to an external site.): A short summary containing much that you need to know about paper formatting, citations, and references
- CSU Global Writing Center (Links to an external site.): many helpful areas, such as: Writing Center, Writing Tips, Template Examples/Papers Essays, and others