Cost of | Mathematics homework help

Cost of Driving

                                                                                                                                                           

Due: _____________________                                                                                            Name: _____________________________________________________________________

 

Section: __________                                                                                                                                                Score:                             / 15 

 

You decide to purchase a NEW car.  You have $2000 as a down payment and will finance the remainder at 3% for 4 years. A hybrid uses less gasoline but the initial cost is higher than a comparable conventional car.  Compare the cost of owning each car, then answer the questions.

 

 

Hybrid

Conventional

Price of Car

$23,193.00

$18,821.00

Tax

$1,275.62

$1035.15

Down Payment

$2,000.00

$2,000.00

Loan Amount

$18,468.52

$17,856.15

Payment
(Monthly for 48 months)

$497.33

$395.23

Fuel Costs

In addition to the down payment and monthly payments, you must purchase gasoline, insurance and maintenance items.  If you drive 15,000 miles each year, what is the total cost of gasoline for each car?  Assume gasoline will cost $3.75/gallon.

 

Hybrid

Conventional

Miles/gallon

48

36

Miles

15,000

15,000

Gasoline/gallon

$3.75

$3.75

Annual cost of fuel

 

 

Other Costs

In addition to payments and fuel, you must also insure and maintain your car.

 

Hybrid

Conventional

Insurance

$995.00

$1005.00

Maintenance/Repair

$3500.00

$3600.00

Annual other costs

 

 

Values from Kelly Blue Book

Create Formulas

Create a function for the annual cost of each car.  Note that the cost is different for the first 4 years (when you are making payments). Let h(x) be the function for the hybrid and c(x) the cost of the conventional car. (2 points)

                  

Create a table
Create a table from the formulas your created above.(2 points)

 

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Hybrid

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Convential

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Graph the data
The year horizontal axis is labeled with the year.  Choose an appropriate scale for the vertical axis and label.  Then plot and label both functions on the same graph below.(2 points)


Questions

 

  1. What have you invested in each car after 4 years? (1 point)
  2. In what year is the total cost of the cars the same? (2 points)
  3. If you could purchase the cars without financing, what would be their cost functions? (2 point)

                    

  4. Without financing, in what year is the total cost of the cars the same? (1 points)
  5. Which car would you purchase and why? (1 points)

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Order your essay today and save 15% with the discount code GRADUATE