Math Problem Statement

In planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego. You want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park. This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz:

Toyota Camry, 39 mpg highway, costs $470.53 plus taxes and fees, totaling $560.16. Toyota Prius Hybrid, 47 mpg highway, costs $655.30 plus taxes and fees, totaling $829.49. In both cases, you must purchase gasoline, which costs $3.82 per gallon in California.

Find the total cost of renting and driving the Camry for the trip:

Solution

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Math Problem Analysis

Mathematical Concepts

Fuel Efficiency
Cost Calculation
Proportions

Formulas

Gasoline required = Total distance / Fuel efficiency
Fuel cost = Gasoline required * Price per gallon
Total cost = Rental cost + Fuel cost

Theorems

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Suitable Grade Level

Grades 9-12