I need help with #1 to #8. (step-by-step solutions)

LESSON 1.7: The Costs of Driving (Personal Finance) Introduction wenna's job requires her to travel by car. She owns a 2009 Toyota 4Runner, but she also has the option to rent a car for her travel. Either way her employer will (only) reimburse her for her mileage. 1) What information does Jenna need in order to decide whether she should use her own car, or rent one? Lesson Objectives Students will be able to Car rental - Write a rate as a fraction Use dimensional analysis to determine the factors in a series of operations to obtain solutions Solve a complex problem with multiple pieces of information and steps. PART 1: The Cost of Driving 2) Gas mileage is rated for either city driving or highway driving. Most of Jenna's travel will take place on the highway. For her next trip she needs to drive 193 miles from home, and then return. The price of gas is $3.50/gallon. Her 4Runner gets 22 miles/gallon. If Jenna rents, she can request a small, fuel-efficient car such as the Hyundai Elantra, which gets 40 miles/gallon. For each option (rent a car or drive her own), calculate how much as will cost for this trip Use dimensional analysis to do your calculation(s). 3) What is the total cost of the Elantra if the rental is $98.98 plus 15.3% tax? (Gas is not included in the price, and the car must be returned to the agency with a full tank). 4) Whether she uses her own car or rents one, Jenna's employer will only reimburse her for total mileage at a rate of 57.5 cents per mile (the 2015 IRS rate). Fill in the following table to determine the profit for each option and then determine which option is better (financially). 4Runner Elantra $ Total Cost (C) Total Reimbursement (R) Profit = R-C $ $ 5) What other operating expenses or issues might impact Jenna's decision? Lesson 1.7: The Costs of Driving (Personal Finance) PART 2: The True Cost of Driving ses. These 6) In the previous question, you were asked about other possible operating expenses. can include insurance, registration, taxes, tires, oil changes and repairs. Last year, Jenna estimates (guesses) she spent a total of $2,400 on these expenses (not including gas). She drove 21,600 miles last year. A) If her guess is correct, what is the average cost per mile to operate her car (not including gas)? Round to the nearest penny per mile. B) Using your answer to (A), what would Jenna's maintenance costs be for the trip described in 2? 7) Using your answer to #6B, what would you recommend to Jenna...rent a car or use her own Write a response that uses the Writing Principles. Challenge Application or Project: 8) A list of more accurate operating costs for Jenna's car are given below: Price of gas: $3.50 per gallon Gas mileage of Jenna's car: 22 miles per gallon Miles driven per year: 21,600 Insurance, registration, taxes: $2,000 (Note that these costs can vary greatly depending on location and the individual.) General maintenance (oil and fluid changes): $40 every 3,000 miles Tires: $920 per set, to be replaced every 50,000 miles Repairs: The website Edmonds.com estimates that repairs on a 2009 4Runner will be approximately $328 per year, based on driving 15,000 miles Use this information to refine the total cost for Jenna to make the trip described in 2. Givea final recommendation on whether she should rent a car or use her own. Use dimensional analysis wherever possible. Your answer should use the Writing Principles (of coursel. Note: Can you write an equation using variables as part of your answer to 8? If so, what would it look like? How do you know it works? 2 Retrieved from www.fueleconomy n d from www.edmunds.com/toyota/runner/2005/co.html?style100614246 foundation for the Advancement of Teaching and The Charles A. Dana Center at the Perce College Math Department Revied by the Seattle Central College Math Mwith Department Licensed CC-BY-SANC of a LESSON 1.7: The Costs of Driving (Personal Finance) Introduction wenna's job requires her to travel by car. She owns a 2009 Toyota 4Runner, but she also has the option to rent a car for her travel. Either way her employer will (only) reimburse her for her mileage. 1) What information does Jenna need in order to decide whether she should use her own car, or rent one? Lesson Objectives Students will be able to Car rental - Write a rate as a fraction Use dimensional analysis to determine the factors in a series of operations to obtain solutions Solve a complex problem with multiple pieces of information and steps. PART 1: The Cost of Driving 2) Gas mileage is rated for either city driving or highway driving. Most of Jenna's travel will take place on the highway. For her next trip she needs to drive 193 miles from home, and then return. The price of gas is $3.50/gallon. Her 4Runner gets 22 miles/gallon. If Jenna rents, she can request a small, fuel-efficient car such as the Hyundai Elantra, which gets 40 miles/gallon. For each option (rent a car or drive her own), calculate how much as will cost for this trip Use dimensional analysis to do your calculation(s). 3) What is the total cost of the Elantra if the rental is $98.98 plus 15.3% tax? (Gas is not included in the price, and the car must be returned to the agency with a full tank). 4) Whether she uses her own car or rents one, Jenna's employer will only reimburse her for total mileage at a rate of 57.5 cents per mile (the 2015 IRS rate). Fill in the following table to determine the profit for each option and then determine which option is better (financially). 4Runner Elantra $ Total Cost (C) Total Reimbursement (R) Profit = R-C $ $ 5) What other operating expenses or issues might impact Jenna's decision? Lesson 1.7: The Costs of Driving (Personal Finance) PART 2: The True Cost of Driving ses. These 6) In the previous question, you were asked about other possible operating expenses. can include insurance, registration, taxes, tires, oil changes and repairs. Last year, Jenna estimates (guesses) she spent a total of $2,400 on these expenses (not including gas). She drove 21,600 miles last year. A) If her guess is correct, what is the average cost per mile to operate her car (not including gas)? Round to the nearest penny per mile. B) Using your answer to (A), what would Jenna's maintenance costs be for the trip described in 2? 7) Using your answer to #6B, what would you recommend to Jenna...rent a car or use her own Write a response that uses the Writing Principles. Challenge Application or Project: 8) A list of more accurate operating costs for Jenna's car are given below: Price of gas: $3.50 per gallon Gas mileage of Jenna's car: 22 miles per gallon Miles driven per year: 21,600 Insurance, registration, taxes: $2,000 (Note that these costs can vary greatly depending on location and the individual.) General maintenance (oil and fluid changes): $40 every 3,000 miles Tires: $920 per set, to be replaced every 50,000 miles Repairs: The website Edmonds.com estimates that repairs on a 2009 4Runner will be approximately $328 per year, based on driving 15,000 miles Use this information to refine the total cost for Jenna to make the trip described in 2. Givea final recommendation on whether she should rent a car or use her own. Use dimensional analysis wherever possible. Your answer should use the Writing Principles (of coursel. Note: Can you write an equation using variables as part of your answer to 8? If so, what would it look like? How do you know it works? 2 Retrieved from www.fueleconomy n d from www.edmunds.com/toyota/runner/2005/co.html?style100614246 foundation for the Advancement of Teaching and The Charles A. Dana Center at the Perce College Math Department Revied by the Seattle Central College Math Mwith Department Licensed CC-BY-SANC of a