Use dimensional analysis to convert units, rates, and ratios from any given units to other units. Include conversions among and between U.S. and metric units using a variety of metric prefixes.
Extract relevant information from complex scenarios. Obtain any necessary additional information from outside sources. Synthesize the information in order to solve problems and make decisions.
Jenna’s job requires her to travel. She owns a 2006 Toyota 4Runner, but she also has the option to rent a car for her travel. In either case, her employer will reimburse her the same amount for the mileage driven using the rate set by the Internal Revenue Service. In 2015, that rate was 57.5 cents/mile. In this lesson you will explore the question of whether it would be better for Jenna to drive her own car or to rent a car.
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. What is the cost of the gas for each vehicle? (Round to the nearest cent)
In the last lesson, you learned about Dimensional Analysis. We will be needing those techniques again in this lesson. To warm up, consider this question:
Price of the rental car: $98.98 plus 15.3% tax (Gas is not included in the rental price. The car starts with a full tank of gas when rented and must be returned to the rental agency with a full tank)
Repairs: The website Edmonds.com estimates that repairs on a three-year-old 2009 4Runner will be approximately $328 per year; this is based on driving 15,000 miles
