please help solve

Question

Your car is a real gas guzzler getting 15 miles to the gallon on the highway using regular gas which at this time costs $ 4.35/gallon. You have a 25 gallon tank in the car and want to drive to visit a trade show in Los Alamitos, New Mexico which is 1780 miles from Los Angeles. You drive on average 70 miles per hour and spend 2 days and nights at the convention during which time you do not drive your car, You do however check into a hotel room which costs $95.00 per night plus a 12% room tax. Your meals cost a total of $35.00 per day for the 2 days that you are in town. You also decide to leave a tip for the waiter of 20% of your meal bill. Your company reimburses you 75% of your travel expenses and 50% of meals and hotel expenses. On the last day of the trip, you decide to purchase an Apple iPod as a gift for your child and an iPad Tablet for yourself which costs $ 589.00. The iPad costs $589.95 and the iPod costs $ 265.95 plus sales tax of 9.25%. Answer each of the following questions. A-What is the total amount that you will spend during this trip? B-What are key elements for this problem and what is the answer? C-How is this typical of a business problem that may be solved using one or more business equations?

Answer 1

A- Let's break down the total expenses:

1. Gas cost: You're driving 1780 miles at 15 miles per gallon, so you'll need (1780 miles / 15 miles per gallon) = 118.67 gallons of gas.

Gas cost = 118.67 gallons * $4.35 per gallon = $516.07

2. Hotel cost: You stay for 2 nights at $95.00 per night, with a 12% room tax.

Total hotel cost = 2 nights * $95.00 per night = $190.00

Room tax = 12% of $190.00 = $22.80

Total hotel cost with tax = $190.00 + $22.80 = $212.80

3. Meal cost: You spend $35.00 per day for 2 days, with a 20% tip.

Total meal cost = 2 days * $35.00 per day = $70.00

Tip = 20% of $70.00 = $14.00

Total meal cost with tip = $70.00 + $14.00 = $84.00

4. iPod and iPad cost:

Total cost = $589.95 + $265.95 = $855.90

Sales tax = 9.25% of $855.90 = $79.13

Total cost with sales tax = $855.90 + $79.13 = $935.03

Now, add up all the expenses:

Total expenses = Gas cost + Total hotel cost with tax + Total meal cost with tip + Total cost with sales tax

Total expenses = $516.07 + $212.80 + $84.00 + $935.03 = $1747.90

B- Key elements for this problem include:

- Gas cost calculation based on mileage and gas price

- Hotel cost calculation including room rate and tax

- Meal cost calculation including tip

- Purchase cost of iPod and iPad including sales tax

The total amount spent during this trip is $1747.90.

C- This problem is typical of a business problem that may be solved using business equations because it involves calculating various expenses related to a business trip, including transportation, accommodation, meals, and purchases. These calculations help individuals and businesses plan and budget for travel expenses, understand the financial impact of their decisions, and manage their finances effectively.