With the price of gas continuing to rise, you wish to look at cars that get better gas mileage. You narrow down your choices to the following 2012 models: Ford Fiesta, Ford Focus, Chevy Volt, Chevy Cruz, Toyota Camry, Toyota Camry Hybrid, Toyota Prius and Toyota Corolla. Each company has offered you their ``best deal" as listed in the following table. You are able to allocate approximately $500 for a car payment each month up to 60 months, although less time would be preferable. Use dynamical systems to determine which new car you can afford.

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2012 Model Ford Fiesta Ford Focus Chevy Volt Chevy Cruz Toyota Camry Toyota Camry Hybrid Toyota Corolla Toyota Prius Best Deal Price $14,200 $20,705 $39,312 $16,800 $22,955 $26,500 $16,500 $19,950 Cash Down $500 $750 $1,000 $500 0 0 $900 $1,000 Interest and Duration 4.5% APR for 60 months 4.38% APR for 60 months 3.28% APR for 48 months 4.4% APR for 60 months 4.8% APR for 60 months 3% APR for 48 months 4.25% for 60 months 4.3% for 60 months