Use the information in this table(in the attachment) to help you answer the questions. Remember, you have a budget of $20,000 fo

Question

2 years ago

10

Use the information in this table(in the attachment) to help you answer the questions. Remember, you have a budget of $20,000 fo

r the car.
1. What add-on options do you want in your car?
2. Write an inequality to model purchasing a car from Dealership A with the desired add-on options and staying within your budget. Use x to represent the base price of the car. (Assume that only the base price of the car is taxed to simplify the problem.)
3. Solve for x. Explain in words what the solution to the inequality means.
4. Graph the possible base price values that are included in the solution. Please upload an image of your graph.
5. Complete 2–4 for Dealership B using the same add-on options.
Will you buy from Dealership A or from Dealership B? Why?

Mathematics

1 answer:

geniusboy [140] · Answer 1 · 2023-07-16T05:30:02+03:00

The best buy is from dealership A because the fees of dealership B is more expensive

<h3>The add-on options</h3>

For the purpose of this exercise, the add-on options to select are:

Air-conditioning
Sunroof
GPS
Bluetooth
Power door and window

<h3>Dealership A</h3>

The total amount of the add-on options is:

Total = $1000 + $500 + $3500 + $500 + $750

Total = $6250

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 12998.44

Divide both sides by (1 + 6.75%)

x ≤ 12176.52

The solution means that the base price of the car cannot exceed $12176.52 for dealership A

<u>The graph of the possible base price</u>

See attachment

<h3>Dealership B</h3>

The total amount of the add-on options is:

Total = $500 + $750 + $2750 + $750 + $500

Total = $5250

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 13225.28

Divide both sides by (1 + 6.75%)

x ≤ 12389.02

The solution means that the base price of the car cannot exceed $12389.02 for dealership B

<u>The graph of the possible base price</u>

See attachment

<h3>Where to buy from</h3>

Buy from dealership A because the fees of dealership B is more expensive